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Verdasca, Carla Sofia Marques. "Crenças, atitudes e comportamentos de saúde e de risco de adictos em comunidades terapêuticas." Master's thesis, Universidade de Évora, 2010. http://hdl.handle.net/10174/19060.
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Os comportamentos de saúde e de risco são comuns em toxicodependentes. Este trabalho foi conduzido no âmbito da análise descritiva da amostra, nomeadamente, caracterização sócio-demográfica e variáveis cognitivas, seguindo-se um segundo objectivo que consistiu na descrição dos comportamentos, crenças e atitudes face à saúde que os adictos apresentam. A amostra é constituída por 75 sujeitos, do sexo masculino, com uma média de idade de 34,07 anos. A metodologia utilizada caracteriza o estudo de quantitativo-correlacionai, uma vez que se pretende efectuar a descrição das características da amostra e os comportamentos de saúde e de risco que apresentam. Os resultados revelam que os adictos apresentam comportamentos de risco, logo, são menores os comportamentos de saúde adoptados durante os consumos. É necessário intervir nas várias áreas de saúde do adicto, nomeadamente, nas práticas sexuais, na prevenção de doenças, nos cuidados alimentares, na conduta rodoviária e na preocupação com o exercício físico-desportivo. /ABSTRACT: Health behaviors and risk factors are common in drug addicts. This work was conducted under the descriptive analysis, including socio-demographic and cognitive variables, followed by a second objective was to describe the altitudes, beliefs and altitudes towards health that addicts have. The sample consists of 75 subjects were mala, with a mean age of 34.07 years. The methodology characterizes the quantitative and correlational study, since we intend to perform the description of sample characteristics and health behaviors and risk they present. The results show that addicts exhibit risky behavior, so they are smaller health behaviors adopted during the intake. lt is necessary to intervene in several areas of health of the addict, including sexual practices, disease prevention, care food, conduct road and the concern that physical exercise I sports.
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Venjakob, Otmar. "Iwasawa theory of r-adic [rho-adic] Lie extensions." [S.l.] : [s.n.], 2000. http://deposit.ddb.de/cgi-bin/dokserv?idn=961907630.
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Furusho, Hidekazu. "ρ-adic multiple zeta values 1 : ρ-adic multiple polylogarithms and the ρ-adic KZ equation." 京都大学 (Kyoto University), 2003. http://hdl.handle.net/2433/148595.
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Brown, Bryan. "Addicted to the Addict: Hollywood's Sinuous Relationship With the Drug-Addict in the 1970s." OpenSIUC, 2014. https://opensiuc.lib.siu.edu/dissertations/906.
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This study explores how the representation of the drug-addict in Hollywood cinema has changed due to governmental and studio policy change, social shifts of opinion, and economic structure. This discussion and exploration primarily focuses upon narrative Hollywood film as this industry has a long and varied history of addiction films. While there have been a variety of shifts in the depiction of drug-addiction due to social changes and industry regulation, perhaps at no other time in cinema history has the culmination of economics, politics, and independent art had such a large impact on the depiction of addiction than in the 1970s. This defining decade did more than alter the social perspective on drug usage; it set the stage for a drastic alteration in the perception of drug-addiction that occurred in the decades to follow. The Seventies were filled with social upheaval and a powerful youth movement that altered the representation greatly. This study discusses three types of drug-addiction representation and the social, political, and economic context in which they reflect and influence. While the social importance placed upon cinema is not questioned in this investigation, the techniques of representation of the addict in film are explored. I examine three characterizations in the addiction films of the 1970s. These phases include, but are not limited to representations of African-Americans, war veterans, and narcissists as drug-addicts in American cinema. I propose that the representation of the addict has shifted due more to sociological impacts rather than an audience-centered and message driven approach. Expounding further, I argue that the sociological impacts, such as federal legislation, are more impacting on the representation of the drug-addict in film rather than a decisive message about addiction for the benefit of the audience. The political-economic, cultural dynamic also plays a significant role in the development of such representation
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Ambrosi, Emiliano. "l-adic,p-adic and geometric invariants in families of varieties." Thesis, Université Paris-Saclay (ComUE), 2019. http://www.theses.fr/2019SACLX019/document.
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Cette thèse est divisée en huit chapitres. D’abord, dans le Chapitre 1, on présente des résultats et des outils déjà connus qu’on utilisera dans la suite de la thèse. Le Chapitre 2 est consacré à résumer de maniére uniforme les nouveaux résultats présentés dans ce manuscrit.Les six chapitre restants sont originals. Dans les Chapitres 3 et 4 on démontre la chose suivante: soit $f:Yrightarrow X$ un morphisme lisse et prope sur une base $X$ lisse et géométriquament connexe sur un corps infini, finiment engendré et de caractéristique positive. Alors il y a beaucoup de points fermées $xin |X|$ tels que le rang du groupe de Néron-Severi de la fibre géometrique de $f$ en $x$ est le même du groupe de Néron-Severi de la fibre géométrique générique. On preuve ça de la façon suivante: on étudie la spécialisation du faisceau lisse $ell$-adique $R^2f_*Ql(1)$ ($ellneq p$); en suite, on le relit avec la spécialisation du F-isocristal $R^2f_{*,cris}mathcal O_{Y/K}(1)$ en passant par la catégorie des F-isocristaux surconvergents. Au final, la conjecture de Tate varationelle dans la cohomologie cristalline, nous permet de déduire le résultat sur les groupes de Néron-Severi depuis le résultat sur $R^2f_{*,cris}mathcal O_{Y/K}(1)$. Cela étend en caractéristique positive les résultats de Cadoret-Tamagawa et André en caractéristique zero.Les Chapitres 5 et 6 sont consacrés à l’étude des groupes de monodromie des F-isocristaux (sur)convergents. En particulier, les résultats dans le Chapitre 5 sont un travail en common avec Marco D'Addezio. On étude les tores maximaux des groupes de monodromie des F-isocristaux (sur)convergents et on utilise ça pour démontrer un cas particulier d’un conjecture de Kedlaya sur les homomorphismes de $F$-isocristeaux convergents. En utilisant ce cas particulier, on démontre que si $A$ est une variété abélienne sans facteurs d'isogonie isotrivial sur un corps de fonctions $F$ sur $overline{F}_p$, alors le groupe $A(F^{mathrm{perf}})_{tors}$ est fini. Cela peut être considéré comme une extension du théoreme de Lang—Néron et donne une réponse positive a une question d'Esnault. Dans le Chapitre 6, on défini une catégorie $overline Q_p$-linéaire des $F$-isocristeaux surconvergents et les groupes de monodromie de ces objets. En exploitant la théorie des compagnons pour les $F$-isocristeaux surconvergents et les faisceaux lisses, on étudie la théorie de spécialisation de ces groupes de monodromie en transférant les résultats du Chapitre 3 dans ce contexte.Les derniers deux chapitres complètent et affinent les résultats des chapitres précédents. Dans le Chapitre 7, on démontre que la conjecture de Tate pour les diviseurs sur les corps finiment engendrés et de caractéristique $p>0$ est une conséquence de la conjecture de Tate pour les diviseurs sur les corps finis de caractéristique $p>0$. Dans le Chapitre 8, on démontre des résultats de borne uniforme en caractéristique positive pour le groupes de Brauer des formes des variétés qui satisfasse la conjecture de Tate $ell$-adique pour les diviseurs. Cela étend en caractéristique positive un résultat de Orr-Skorobogatov en caractéristique zéroThis thesis is divided in 8 chapters. Chapter ref{chapterpreliminaries} is of preliminary nature: we recall the tools that we will use in the rest of the thesis and some previously known results. Chapter ref{chapterpresentation} is devoted to summarize in a uniform way the new results obtained in this thesis.The other six chapters are original. In Chapters ref{chapterUOIp} and ref{chapterneron}, we prove the following: given a smooth proper morphism $f:Yrightarrow X$ over a smooth geometrically connected base $X$ over an infinite finitely generated field of positive characteristic, there are lots of closed points $xin |X|$ such that the rank of the N'eron-Severi group of the geometric fibre of $f$ at $x$ is the same of the rank of the N'eron-Severi group of the geometric generic fibre. To prove this, we first study the specialization of the $ell$-adic lisse sheaf $R^2f_*Ql(1)$ ($ellneq p$), then we relate it with the specialization of the F-isocrystal $R^2f_{*,crys}mathcal O_{Y/K}(1)$ passing trough the category of overconvergent F-isocrystals. Then, the variational Tate conjecture in crystalline cohomology, allows us to deduce the result on the N'eron-Severi groups from the results on $R^2f_{*,crys}mathcal O_{Y/K}(1)$. These extend to positive characteristic results of Cadoret-Tamagawa and Andr'e in characteristic zero.Chapters ref{chaptermarcuzzo} and ref{chapterpadic} are devoted to the study of the monodromy groups of (over)convergent F-isocrystals. Chapter ref{chaptermarcuzzo} is a joint work with Marco D'Addezio. We study the maximal tori in the monodromy groups of (over)convergent F-isocrystals and using them we prove a special case of a conjecture of Kedlaya on homomorphism of convergent $F$-isocrystals. Using this special case, we prove that if $A$ is an abelian variety without isotrivial geometric isogeny factors over a function field $F$ over $overline{F}_p$, then the group $A(F^{mathrm{perf}})_{tors}$ is finite. This may be regarded as an extension of the Lang--N'eron theorem and answer positively to a question of Esnault. In Chapter ref{chapterpadic}, we define $overline Q_p$-linear category of (over)convergent F-isocrystals and the monodromy groups of their objects. Using the theory of companion for overconvergent F-isocrystals and lisse sheaves, we study the specialization theory of these monodromy groups, transferring the result of Chapter ref{chapterUOIp} to this setting via the theory of companions.The last two chapters are devoted to complements and refinement of the results in the previous chapters. In Chapter ref{chaptertate}, we show that the Tate conjecture for divisors over finitely generated fields of characteristic $p>0$ follows from the Tate conjecture for divisors over finite fields of characteristic $p>0$. In Chapter ref{chapterbrauer}, we prove uniform boundedness results for the Brauer groups of forms of varieties in positive characteristic, satisfying the $ell$-adic Tate conjecture for divisors. This extends to positive characteristic a result of Orr-Skorobogatov in characteristic zero
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Ludwig, Judith. "p-adic Langlands functoriality." Thesis, Imperial College London, 2014. http://hdl.handle.net/10044/1/25095.
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In this thesis we prove p-adic Langlands functoriality in two settings. Firstly we prove a p-adic Labesse-Langlands transfer from the group of units in a defnite quaternion algebra to its subgroup of norm one elements. Secondly we show p-adic functoriality for inner forms of unitary groups in three variables. In both cases we show that given an eigenvariety for the first group, there exists an eigenvariety for the second group and a morphism between them that extends the classical Langlands transfer and has an interpretation as a p-adic Langlands transfer.
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Scanlon, M. G. T. "ƿ-adic Fourier analysis." Thesis, Durham University, 2003. http://etheses.dur.ac.uk/3712/.
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Let Dk be the ring of integers of a finite extension of Q(_p), and let h ɛ Q≥(_0) be in its value group. This thesis considers the space of locally analytic functions of order h on Ok with values in Cp-. that is, functions that are defined on each disc of radius by a convergent power series. A necessary and sufficient condition for a sequence of polynomials, with coefficient in C(_p), to be orthogonal in this space is given, generalising a result of Amice [1] . This condition is used to prove that a particular sequence of polynomials defined in Schneider Teitelbaum [19] is not orthogonal.
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Eis, Pavel. "Datová sada pro klasifikaci síťových zařízení pomocí strojového učení." Master's thesis, Vysoké učení technické v Brně. Fakulta informačních technologií, 2021. http://www.nusl.cz/ntk/nusl-445543.
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Automatic classification of devices in computer network can be used for detection of anomalies in a network and also it enables application of security policies per device type. The key to creating a device classifier is a quality data set, the public availability of which is low and the creation of a new data set is difficult. The aim of this work is to create a tool, that will enable automated annotation of the data set of network devices and to create a classifier of network devices that uses only basic data from network flows. The result of this work is a modular tool providing automated annotation of network devices using system ADiCT of Cesnet's association, search engines Shodan and Censys, information from PassiveDNS, TOR, WhoIs, geolocation database and information from blacklists. Based on the annotated data set are created several classifiers that classify network devices according to the services they use. The results of the work not only significantly simplify the process of creating new data sets of network devices, but also show a non-invasive approach to the classification of network devices.
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Wald, Christian. "A p-adic quantum group and the quantized p-adic upper half plane." Doctoral thesis, Humboldt-Universität zu Berlin, 2017. http://dx.doi.org/10.18452/18201.
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Eine Quantengruppe ist eine nichtkommutative und nichtkokommutative Hopfalgebra. In dieser Arbeit konstruieren wir eine Deformation der lokalkonvexen Hopfalgebra der lokalanalytischen Funktionen auf GL(2,O), wobei O hier der Bewertungsring einer endlichen Erweiterung der p-adischen Zahlen ist. Wir zeigen, dass diese Deformation eine nichtkommutative, nichtkokommutative lokalkonvexe Hopfalgebra, also eine p-adische Quantengruppe, ist. Unser Hauptresultat ist, dass das starke Dual dieser Deformation eine Fréchet-Stein Algebra ist. Dies bedeutet, dass das starke Dual ein projektiver Limes von noetherschen Banachalgebren unter rechtsflachen Übergangsabbildungen ist. Im kommutativen Fall wurde dies von P. Schneider und J. Teitelbaum gezeigt. Unser Beweis im nichtkommutativen Fall benutzt Ideen von M. Emerton, der einen alternativen Beweis im kommutativen Fall gefunden hat. Für unseren Beweis beschreiben wir gewisse Vervollständigungen der quanten-einhüllenden Algebra und benutzen die Technik der partiell dividierten Potenzen. Eine wichtige Klasse lokalanalytischer Darstellungen von GL(2,K) wird mithilfe globaler Schnitte von Linienbündeln auf der p-adischen oberen Halbebene konstruiert. Wir konstruieren ein nichtkommutatives Analogon der p-adischen oberen Halbebene, von dem wir erwarten, dass es interessante Darstellungen unserer p-adischen Quantengruppe induziert. Die wichtigsten Hilfsmittel der Konstruktion sind die Maninsche Quantenebene, der Bruhat-Tits Baum für PGL(2,K) und die Theorie der algebraischen Mikrolokalisierung.A quantum group is a noncommutative noncocommutative Hopf algebra. In this thesis we deform the locally convex Hopf algebra of locally analytic functions on GL(2,O), where O is the valuation ring of a finite extension of the p-adic numbers. We show that this deformation is a noncommutative noncocommutative locally convex Hopf algebra, i.e. a p-adic quantum group. Our main result is that the strong dual of our deformation is a Fréchet Stein algebra, i.e. a projective limit of Noetherian Banach algebras with right flat transition maps. This was shown in the commutative case by P. Schneider and J. Teitelbaum. For our proof in the noncommutative case we use ideas of M. Emerton, who gave an alternative proof of the Fréchet Stein property in the commutative case. For the proof we describe completions of the quantum enveloping algebra and use partial divided powers. An important class of locally analytic representations of GL(2,K) is constructed from global sections of line bundles on the p-adic upper half plane. We construct a noncommutative analogue of an affine version of the p-adic upper half plane which we expect to give rise to interesting representations of our p-adic quantum group. We construct this space by using the Manin quantum plane, the Bruhat-Tits tree for PGL(2,K) and the theory of algebraic microlocalization.
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Newton, James. "Levels of p-adic automorphic forms and a p-adic Jacquet-Langlands correspondence." Thesis, Imperial College London, 2011. http://hdl.handle.net/10044/1/7032.
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We investigate the arithmetic of p-adic automorphic forms for certain quaternion algebras over totally real fields (including GL2/Q), focussing on the question of the relationships between p-adic automorphic forms with different levels at a prime l different from p, and the relation between p-adic automorphic forms for (the multiplicative groups of) different quaternion algebras (i.e. a p-adic Jacquet–Langlands correspondence). In chapters 2 and 3 we prove results of ‘level raising’ type, showing that certain families of p-adic automorphic forms with level prime to l (l-old forms) intersect with a family of p-adic automorphic form with Iwahori level at l, where all the classical points in this second family are l-new. Chapter 2 works with definite quaternion algebras over Q, whilst chapter 3 works with GL2/Q. In chapter 3 the main tool is Emerton’s theory of completed cohomology. In chapter 4 we study indefinite quaternion algebras over totally real fields F, split at one infinite place, and prove level raising and lowering results. Finally, also in chapter 4, we give an example of a cohomological construction of p-adic Jacquet-Langlands functoriality, using completed cohomology.
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James, Addison Davis. "Confessions of an American Ginseng Addict." TopSCHOLAR®, 2015. http://digitalcommons.wku.edu/theses/1529.
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Confessions of an American Ginseng Addict uses the Lazy Branch Holler in Muhlenberg County, Kentucky as a setting for a creative nonfiction work, which uses history, confession, remembrances, and digressions to tell the story of a man dealing with loss, mental health issues, environmental sustainability, and the power of ginseng. In the style of Desert Solitaire and Fear and Loathing in Las Vegas, the narrative is a discursive work of raw unadulterated gonzo writing.
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Zahid, Jahan. "Zeros of p-adic forms." Thesis, University of Oxford, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.515046.
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Lame, John. "p-adic finite difference equations /." The Ohio State University, 1996. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487936356158483.
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Vercheval, Nicolas. "Integrazione p-adica e teorema di Igusa." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2013. http://amslaurea.unibo.it/6179/.
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Questa tesi si prefigge lo scopo di dimostrare il teorema di Igusa. Inizia introducendo algebricamente i numeri p-adici e ne dà una rappresentazione grafica.
Sviluppa poi un integrale definito dalla misura di Haar, invariante per traslazione e computa alcuni esempi.
Utilizza il blow up come strumento per la risoluzione di alcuni integrali ed enuncia un'applicazione del teorema di Hironaka sulla risolubilità delle singolarità.
Infine usa questi risultati per dimostrare il teorema di Igusa.
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Rogers, Keith McKenzie School of Mathematics UNSW. "Real and p-adic oscillatory integrals." Awarded by:University of New South Wales. School of Mathematics, 2004. http://handle.unsw.edu.au/1959.4/20521.
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After our introduction in Chapter 1, we consider van der Corput's lemma in Chapter 2. We find the nodes that minimize divided differences, and use these to find the sharp constant in a related sublevel set estimate. We go on to find the sharp constant in the first instance of the van der Corput lemma using a complex mean value theorem for integrals. With these bounds we improve the constant in the general van der Corput lemma, so that it is asymptotically sharp. In Chapter 3 we review the p-adic numbers and some results from Fourier analysis over the p-adics. In Chapter 4 we prove a p-adic version of van der Corput's lemma for polynomials, opening the way for the study of oscillatory integrals over the p-adics. In Chapter 5 we apply this result to bound maximal averages. We show that maximal averages over curves defined by p-adic polynomials are Lq bounded, where 1<q<infinity
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Panayi, Peter N. "Computation of Leopoldt's P-adic regulator." Thesis, University of East Anglia, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.318088.
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Malon, Christopher D. "The p-adic local langlands conjecture." Thesis, Massachusetts Institute of Technology, 2005. http://hdl.handle.net/1721.1/33667.
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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2005.Includes bibliographical references (leaves 46-47).
Let k be a p-adic field. Split reductive groups over k can be described up to k- isomorphism by a based root datum alone, but other groups, called rational forms of the split group, involve an action of the Galois group of k. The Galois action on the based root datum is shared by members of an inner class of k-groups, in which one k--isomorphism class is quasi-split. Other forms of the inner class can be called pure or impure, depending on the Galois action. Every form of an adjoint group is pure, but only the quasi-split forms of simply connected groups are pure. A p-adic Local Langlands correspondence would assign an L-packet, consisting of finitely many admissible representations of a p-adic group, to each Langlands parameter. To identify particular representations, data extending a Langlands parameter is needed to make "completed Langlands parameters." Data extending a Langlands parameter has been utilized by Lusztig and others to complete portions of a Langlands classification for pure forms of reductive p- adic groups, and in applications such as endoscopy and the trace formula, where an entire L-packet of representations contributes at once.
(cont.) We consider a candidate for completed Langlands parameters to classify representations of arbitrary rational forms, and use it to extend a classification of certain supercuspidal representations by DeBacker and Reeder to include the impure forms.
by Christopher D. Malon.
Ph.D.
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Tan, Fucheng Ph D. Massachusetts Institute of Technology. "Families of p̳-adic Galois representations." Thesis, Massachusetts Institute of Technology, 2011. http://hdl.handle.net/1721.1/68483.
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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2011.Cataloged from PDF version of thesis. In title on title page, double underscored "p̳" appears as script.
Includes bibliographical references (p. 121-124).
In this thesis, I first generalize Kisin's theory of finite slope subspaces to arbitrary p-adic fields, and then apply it to the generic fibers of Galois deformation spaces. I study the finite slope deformation rings in details by computing the dimensions of their Zariski cotangent spaces via Galois cohomologies. It turns out that the Galois cohomologies tell us not only the formal smoothness of finite slope deformation rings, but also the behavior of the Sen operator near a generic de Rham representation. Applying these results to the finite slope subspace of two dimensional Galois representations of the absolute Galois group of a p-adic field, we are able to show that a generic (indecomposible) de Rham representation lies in the finite slope subspace. It follows from the construction of the finite slope subspace that the complete local ring of a point in the finite slope subspace is closely related to the finite slope deformation ring at the same point. As a consequence, we manage to show the flatness of the weight map near generic de Rham points, and accumulation and smoothness of generic de Rham points. In particular, we have a precise dimension formula for the finite slope subspace. Taking into account twists by characters, we define the nearly finite slope subspace, which is believed to serve as the local eigenvariety, as is suggested by Colmez's theory of trianguline representation. Following Gouv~a- Mazur and Kisin, we construct an infinite fern in the local Galois deformation space. Moreover, we define the global eigenvariety for GL2 over any number field, and give a lower bound of its dimension.
by Fucheng Tan.
Ph.D.
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Childress, Nancy Ellen. "Zeros of p-adic L-functions /." The Ohio State University, 1985. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487261553059506.
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Liu, Junjiang. "On p-adic decomposable form inequalities." Thesis, Bordeaux, 2015. http://www.theses.fr/2015BORD0258/document.
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Soit F ∈ Z[X1, . . . ,Xn] une forme décomposable, c’est-à-dire un polynôme homogène de degré d qui peut être factorisé en formes linéaires sur C. Notons NF (m) le nombre de solutions entières à l’inégalité |F(x)| ≤ m et VF (m) le volume de l’ensemble {x ∈ Rn :|F(x)| ≤ m}. En 2001, Thunder [19] a prouvé une conjecture de W.M. Schmidt, énonçant que, sous des conditions de finitude appropriées, on a NF (m) << m n/d où la constante implicite ne dépend que de n et d. En outre, il a montré une formule asymptotique NF (m) = m n/d V (F) + OF (m n/(d+n−2)) où, cependant, la constante implicite dépend de F. Dans des articles ultérieurs, la préoccupation de Thunder était d’obtenir une formule asymptotique similaire, mais avec la borne supérieure du terme d’erreur |NF (m) −m n/dV (F)| ne dépendant que de n et d. Dans [20] et [22], il a réussi à prouver que si gcd(n, d) = 1, la constante implicite dans le terme d’erreur peut en effet être fonction uniquement de n et d. L’objectif principal de cette thèse est d’étendre les résultats de Thunder au cadre p-adique. `A savoir, nous sommes intéressés par les solutions à l’inégalité |F(x)| · |F(x)|p1 . . . |F(x)|pr ≤ m en x = (x1, x2, . . . ,xn) ∈ Zn avec gcd(x1, x2, . . . ,xn, p1 · · · pr) = 1. (5.4.9) où p1, . . . , pr sont des nombres premiers distincts et |·|p désigne la valeur absolue p-adique habituelle. Le chapitre 1 est consacré au cadre p-adique de ce problème et aux preuves des lemmes auxiliaires. Le chapitre 2 est consacré à l’extension des résultats de Thunder de [19]. Dans le chapitre 3, nous montrons l’effectivité de la condition sous laquelle le nombre de solutions de (5.4.9) est fini. Le chapitre 4 et le chapitre 5 généralisent les résultats de Thunder dans [20], [21] et [22]Let F ∈ Z[X1, . . . ,Xn] be a decomposable form, that is, a homogeneous polynomial of degree d which can be factored into linear forms over C. Denote by NF (m) the number of integer solutions to the inequality |F(x)| ≤ m and by VF (m) the volume of the set{x ∈ Rn : |F(x)| ≤ m}. In 2001, Thunder [19] proved a conjecture of W.M. Schmidt, stating that, under suitable finiteness conditions, one has NF (m) << mn/d where the implicit constant depends only on n and d. Further, he showed an asymptotic formula NF (m) = mn/dV (F) + OF (mn/(d+n−2)) where, however, the implicit constant depends on F. In subsequent papers, Thunder’s concern was to obtain a similar asymptotic formula, but with the upper bound of the error term |NF (m)−mn/dV (F)| depending only on n and d. In [20] and [22], hemanaged to prove that if gcd(n, d) = 1, the implicit constant in the error term can indeed be made depending only on n and d.The main objective of this thesis is to extend Thunder’s results to the p-adic setting. Namely, we are interested in solutions to the inequality |F(x)| · |F(x)|p1 . . . |F(x)|pr ≤ m in x = (x1, x2, . . . ,xn) ∈ Zn with gcd(x1, x2, . . . ,xn, p1 · · · pr) = 1. (5.4.3)where p1, . . . , pr are distinct primes and | · |p denotes the usual p-adic absolute value.Chapter 1 is devoted to the p-adic set-up of this problem and to the proofs of the auxiliary lemmas. Chapter 2 is devoted to extending Thunder’s results from [19]. In chapter 3, we show the effectivity of the condition under which the number of solutions of (5.4.3) is finite. Chapter 4 and chapter 5 generalize Thunder’s results from [20], [21] and [22]
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Aubertin, Bruce Lyndon. "Algebraic numbers and harmonic analysis in the p-series case." Thesis, University of British Columbia, 1986. http://hdl.handle.net/2429/30282.
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For the case of compact groups G = Π∞ j=l Z(p)j which are direct products
of countably many copies of a cyclic group of prime order p, links are established between the theories of uniqueness and spectral synthesis on the one hand, and the theory of algebraic numbers on the other, similar to the well-known results of Salem, Meyer et al on the circle.
Let p ≥ 2 be a prime and let k{x⁻¹} denote the p-series field of
formal Laurent series z = Σhj=₋∞ ajxj with coefficients in the field
k = {0, 1,…, p-1} and the integer h arbitrary. Let L(z) = - ∞ if aj = 0 for all j; otherwise let L(z) be the largest index h for which ah ≠ 0. We examine compact sets of the form
[Algebraic equation omitted]
where θ ε k{x⁻¹}, L(θ) > 0, and I is a finite subset of k[x].
If θ is a Pisot or Salem element of k{x⁻¹}, then E(θ,I) is always a set of strong synthesis. In the case that θ is a Pisot element, more can be proved, including a version of Bochner's property leading to a sharper statement of synthesis, provided certain assumptions are made on I (e.g., I ⊃ {0,1,x,...,xL(θ)-1}).
Let G be the compact subgroup of k{x⁻¹} given by G = {z: L(z) < 0}.
Let θ ɛ k{x⁻¹}, L(θ) > 0, and suppose L(θ) > 1 if p = 3 and L(θ) > 2 if p = 2. Let I = {0,1,x,...,x²L(θ)-1}. Then E = θ⁻¹Ε(θ,I) is a perfect subset of G of Haar measure 0, and E is a set of uniqueness
for G precisely when θ is a Pisot or Salem element.
Some byways are explored along the way. The exact analogue of Rajchman's theorem on the circle, concerning the formal multiplication of series, is obtained; this is new, even for p = 2. Other examples are given of perfect sets of uniqueness, of sets satisfying the Herz criterion
for synthesis, and sets of multiplicity, including a class of M-sets of measure 0 defined via Riesz products which are residual in G.
In addition, a class of perfect M₀-sets of measure 0 is introduced
with the purpose of settling a question left open by W.R. Wade and
K. Yoneda, Uniqueness and quasi-measures on the group of integers of a
p-series field, Proc. A.M.S. 84 (1982), 202-206. They showed that if
S is a character series on G with the property that some subsequence
{SpNj} of the pn-th partial sums is everywhere pointwise bounded on G,
then S must be the zero series if SpNj → 0 a.e.. We obtain a strong
complement to this result by establishing that series S on G exist for
which Sn → 0 everywhere outside a perfect set of measure 0, and for
which sup |SpN| becomes unbounded arbitrarily slowly.Science, Faculty of
Mathematics, Department of
Graduate
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Kent, Zachary A. "P-adic analysis and mock modular forms." Thesis, University of Hawaii at Manoa, 2011. http://hdl.handle.net/10125/25934.
Full textAbstract:
A mock modular form f+ is the holomorphic part of a harmonic Maass form f. The non-holomorphic part of f is a period integral of a cusp form g, which we call the shadow of f+. The study of mock modular forms and mock theta functions is one of the most active areas in number theory with important works by Bringmann, Ono, Zagier, Zwegers, among many others. The theory has many wide-ranging applications: additive number theory, elliptic curves, mathematical physics, representation theory, and many others.
We consider arithmetic properties of mock modular forms in three different settings: zeros of a certain family of modular forms, coupling the Fourier coefficients of mock modular forms and their shadows, and critical values of modular L-functions.
For a prime p > 3, we consider j-zeros of a certain family of modular forms called Eisenstein series. When the weight of the Eisenstein series is p - 1, the j-zeros are j-invariants of elliptic curves with supersingular reduction modulo p. We lift these j-zeros to a p-adic field, and show that when the weights of two Eisenstein series are p-adically close, then there are j-zeros of both series that are p-adically close.
A direct method for relating the coefficients of shadows and mock modular forms is not known. This is considered to be among the first of Ono's Fundamental Problems for mock modular forms. The fact that a shadow can be cast by infinitely many mock modular forms, and the expected transcendence of generic mock modular forms pose serious obstructions to this problem. We solve these problems when the shadow is an integer weight cusp form. Our solution is p-adic, and it relies on our definition of an algebraic regularized mock modular form.
We use mock modular forms to compute generating functions for the critical values of modular L-functions. To obtain this result we derive an Eichler-Shimura theory for weakly holomorphic modular forms and mock modular forms. This includes an "Eichler-Shimura isomorphism", a "multiplicity two" Hecke theory, a correspondence between mock modular periods and classical periods, and a "Haberland-type" formula which expresses Petersson's inner product and a related antisymmetric inner product on M!k in terms of periods.87 leaves, bound ; 29 cm.
Thesis (Ph. D.)--University of Hawaii at Manoa, 2010.
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Bosio, Diana. "p-adic methods of round-off errors." Thesis, Queen Mary, University of London, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.325628.
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Dee, J. "Arithmetic of certain p-adic Galois representations." Thesis, University of Cambridge, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.598486.
Full textAbstract:
In the first part of this work we prove a formula relating the special value of a certain L-function to the order of a certain Selmer group. More precisely, let E be an elliptic curve with complex multiplication by K, a quadratic imaginary extension of π of class number 1, and suppose that E is defined over K. Let If denote the group of fractional ideals of K prime to f, the conductor of E, and ψ the Grössencharacter attached to E. One may consider the L-functions attached to the homomorphisms ψk for positive integers k and ask whether analogues of the Birch and Swinnerton - Dyer conjecture hold. Our main result on L-functions and Selmer groups is the following. Theorem 0.0.1 Let k be a positive integer and p > k a prime where E has good supersingular reduction. Then with the understanding that both sides may be simultaneously infinite. Here H1f (K, Ak) is the Selmer group for the representation associated to ψk by Class Field Theory, and Ω is a certain period of E. We furthermore show that both sides of the above equality are finite if k ≥ 3, and extend this to the case k = 2 when E is assumed to be defined over π. In the following two sections we bound the Selmer group of the dual representation by using the functional equation, then deduce results over π when E is assumed to be defined over π. The method we use is modelled on Rubin's approach to the Birch and Swinnerton - Dyer conjecture and uses the two variable Main Conjecture proved by Rubin and Kato's explicit reciprocity law. After the work mentioned above was completed it came to the attention of the author that some similar results have been obtained independently by Han. We subsequently realised that his results together with results of Nekovár could be used to provide information about Chow groups of arbitrary codimension for self products of CM elliptic curves.
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Chan, Man-fai, and 陳文輝. "On p-adic polynomials and power series." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2000. http://hub.hku.hk/bib/B31222250.
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Almutairi, Bander Nasser. "Counting supercuspidal representations of p-adic groups." Thesis, University of East Anglia, 2012. https://ueaeprints.uea.ac.uk/48008/.
Full textAbstract:
Let F be a non-archimedean local �eld with residual characteristic p ~= 2. In this thesis we will deduce a formula for the number of irreducible supercuspidal representations of GLN(F), N C 1, with !�($F ) = 1 and level less than or equal to k. Following Blasco, we construct all irreducible supercuspidal representations of the unitary groups U(1; 1)(F~F0) and U(2; 1)(F~F0) by looking at their characteristic polynomials and then compute the number of all these representations according to their level.
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Chan, Man-fai. "On p-adic polynomials and power series /." Hong Kong : University of Hong Kong, 2000. http://sunzi.lib.hku.hk:8888/cgi-bin/hkuto%5Ftoc%5Fpdf?B21982429.
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Venjakob, Otmar. "Iwasawa theory of p-adic Lie extensions." [S.l. : s.n.], 2001. http://www.bsz-bw.de/cgi-bin/xvms.cgi?SWB9590147.
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Zerbes, Sarah. "Selmer groups over p-adic Lie extensions." Thesis, University of Cambridge, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.613792.
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Chojecki, Przemyslaw. "P-adic local Langlands correspondence and geometry." Thesis, Paris 6, 2015. http://www.theses.fr/2015PA066035/document.
Full textAbstract:
Cette these concerne la geometrie de la correspondance de Langlands p-adique. On donne la formalisation des methodes de Emerton, qui permettrait d'etablir la conjecture de Fontaine-Mazur dans le cas general des groupes unitaires. Puis, on verifie que ce formalism est satisfait dans la cas de U(3) ou on utilise la construction de Breuil-Herzig pour la correspondence p-adique. De point de vue local, on commence l'etude de cohomologie modulo p et p-adiques de tour de Lubin-Tate pour GL_2(Q_p). En particulier, on demontre que on peut retrouver la correspondence de Langlands p-adique dans la cohomologie completee de tour de Lubin-TateThis thesis concerns the geometry behind the p-adic local Langlands correspondence. We give a formalism of methods of Emerton, which would permit to establish the Fontaine-Mazur conjecture in the general case for unitary groups. Then, we verify that our formalism works well in the case of U(3) where we use the construction of Breuil-Herzig as the input for the p-adic correspondence.From the local viewpoint, we start a study of the modulo p and p-adic cohomology of the Lubin-Tate tower for GL_2(Q_p). In particular, we show that we can find the local p-adic Langlands correspondence in the completed cohomology of the Lubin-Tate tower
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Waller, Bradley A. "Properties of p-adic C^k Distributions." The Ohio State University, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=osu1385485834.
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Han, Sang-Geun. "Two applications of p-adic L-functions /." The Ohio State University, 1987. http://rave.ohiolink.edu/etdc/view?acc_num=osu148733154171079.
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Sordo, Vieira Luis A. "ON P-ADIC FIELDS AND P-GROUPS." UKnowledge, 2017. http://uknowledge.uky.edu/math_etds/43.
Full textAbstract:
The dissertation is divided into two parts. The first part mainly treats a conjecture of Emil Artin from the 1930s. Namely, if f = a_1x_1^d + a_2x_2^d +...+ a_{d^2+1}x^d where the coefficients a_i lie in a finite unramified extension of a rational p-adic field, where p is an odd prime, then f is isotropic. We also deal with systems of quadratic forms over finite fields and study the isotropicity of the system relative to the number of variables. We also study a variant of the classical Davenport constant of finite abelian groups and relate it to the isotropicity of diagonal forms. The second part deals with the theory of finite groups. We treat computations of Chermak-Delgado lattices of p-groups. We compute the Chermak-Delgado lattices for all p-groups of order p^3 and p^4 and give results on p-groups of order p^5.
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Tung, Shen-Ning. "Fontaine's rings and p-adic L-functions." Thesis, University of British Columbia, 2015. http://hdl.handle.net/2429/52295.
Full textAbstract:
In the first part, we introduce theory of p-adic analysis for one variable p-adic functions and then use them to construct Kubota-Leopoldt p-adic L-functions.
In the second part, we give a description of the Iwasawa modules attached to p-adic Galois representations of the absolute Galois group of K in terms of the theory of (φ,Γ)-modules of Fontaine. When the representation is de Rham when K be finite extension of Qp. This gives a natural construction of the exponential map of Perrin-Riou which is used in the construction and the study of p-adic L-functions.
In the third part, we give formulas for Bloch-Kato’s exponential map and its dual for an alsolutely crystalline p-adic representation V . As a corollary of these computation, we can give a improved description of Perrin-Riou’s exponential map, which interpolates Bloch-Kato’s exponentials for the twists of V. Finally we use this map to reconstruct Kubota-Leopoldt p-adic L-functions.Science, Faculty of
Mathematics, Department of
Graduate
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McCabe, Keith Thomas. "On ρ-extensions of ρ-adic fields." Thesis, Durham University, 2016. http://etheses.dur.ac.uk/11861/.
Full textAbstract:
Let ρ be an odd prime, and let K be a finite extension of Qp such that K contains a primitive ρ-th root of unity. Let K <ρ be the maximal ρ-extension of K with Galois group Γ <ρ of period ρ and nilpotence class < ρ. Recent results of Abrashkin describe the ramification filtration ?, and can be used to recover the structure of Γ< ρ. The group Γ< ρ is described in terms of an Fρ- Lie algebra L due to the classical equivalence of categories of Fρ-Lie algebras of nilpotent class < ρ, and ρ-groups of period ρ of the same nilpotent class. In this thesis we generalise explicit calculations of Abrashkin related to the structure of Γ< ρ.
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Chinner, Trinity. "Elliptic Tori in p-adic Orthogonal Groups." Thesis, Université d'Ottawa / University of Ottawa, 2021. http://hdl.handle.net/10393/42759.
Full textAbstract:
In this thesis, we classify up to conjugacy the maximal elliptic toral subgroups of all
special orthogonal groups SO(V), where (q,V) is a 4-dimensional quadratic space
over a non-archimedean local field of odd residual characteristic. Our parameterization blends the abstract theory of Morris with a generalization of the practical work
performed by Kim and Yu for Sp(4). Moreover, we compute an explicit Witt basis
for each such torus, thereby enabling its concrete realization as a set of matrices embedded into the group. This work can be used explicitly to construct supercuspidal
representations of SO(V).
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Tallerico, Frank W. "A disciplemaking strategy of hope for the alcohol addict." Online full text .pdf document, available to Fuller patrons only, 2001. http://www.tren.com.
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Mansoor, Muavia, and Nasir Iqbal. "p-adic Expansions of Solutions of Congruence Equations." Thesis, Linnéuniversitetet, Institutionen för datavetenskap, fysik och matematik, DFM, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-21101.
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Castellà, Cabello Francisco. "On the p-adic variation of Heegner points." Thesis, McGill University, 2013. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=117141.
Full textAbstract:
In this thesis we study the so-called ``big Heegner points'' introduced and first studied by Ben Howard. By construction these are global cohomology classes, with values in the Galois representation associated to a twisted Hida family, interpolating in weight 2 the twisted Kummer images of CM points.In the first part, we relate the higher weight specializations of the big Heegner point of conductor one to the p-adic etale Abel-Jacobi images of Heegner cycles. This is based on a new p-adic limit formula of Gross-Zagier type obtained in the recent work [BDP] of Bertolini-Darmon-Prasanna, a formula that we extend to a setting allowing arbitrary ramification at p. As a first consequence of the aforementioned relation, we deduce an interpolation of the p-adic Gross-Zagier formula of Nekovar over a Hida family.In the second part, we extend some of these formulas in the anticyclotomic direction, and find that the p-adic L-function introduced in [BDP] can be obtained as the image of a compatible sequence of big Heegner points of p-power conductor via a generalization of the Coleman power series map. By an application of Kolyvagin's method of Euler systems, we then exploit this alternate construction of the p-adic L-function to establish certain new cases of the Bloch-Kato conjecture for theRankin-Selberg convolution of a cusp form with a theta series of higher weight, and deduce one divisibility in the associated anticyclotomic Iwasawa main conjecture.Cette thèse est consacrée aux "points de Heegner en famille" introduits par Ben Howard. Par définition, ce sont des classes de cohomologie globales à valeurs dans la représentation Galoisienne associée à une famille de Hida, interpolant en poids 2 les images de points CM par l'application de Kummer. La première partie de cette thèse relie les spècialisations de la classe de Howard en poids k>2 aux images de certains cycles de Heegner par l'application d'Abel-Jacobi p-adique. Notre démonstration de cette relation repose sur une formule de Gross-Zagier p-adique obtenue dans les travaux récents [BDP] de Bertolini-Darmon-Prasanna, et que nous étendons ici à un cadre permettant de travailler avec des formes modulaires de niveau divisible par p. On déduit de nos résultats une interpolation de la formule de Gross-Zagier p-adique de Nekovar sur une famille de Hida. La deuxième partie étend la définition de la classe de Howard "le long de la droite anticyclotomique", pour obtenir une classe de cohohomologie à deux variables. On montre que la fonction L p-adique de Hida-Rankin, telle que décrite dans [BDP], est l'image de cette classe par une généralisation de l'isomorphisme de Coleman. La méthode des systèmes d'Euler de Kolyvagin, telle que réinventée par Kato et Perrin-Riou, permet d'en déduire certains nouveaux cas de la conjecture de Bloch-Kato pour la convolution de Rankin-Selberg d'une forme parabolique avec une série thêta de poids supérieur, et une divisibilité dans la conjecture principale de la théorie d'Iwasawa associée à cette famille de motifs.
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Casazza, Daniele. "Stark-Heegner points and p-adic L-functions." Doctoral thesis, Universitat Politècnica de Catalunya, 2016. http://hdl.handle.net/10803/403958.
Full textAbstract:
Let K|Q be a number field and let Z(K,s) be its associated complex L-function. The analytic class number formula relates special values of Z(K,s) with algebraic invariants of the field K itself. It admits a Galois equivariant refinement known as Stark conjectures.
We have a very similar picture in the case of elliptic curves. Let E/Q be an elliptic curve and let L(E/Q,s) be its associated complex L-function. The conjecture of Birch and Swinnerton-Dyer relates the behaviour of L(E/Q,s) at s=1 to the structure of rational solutions of the equation defined by E. The equivariant Birch and Swinnerton-Dyer conjecture is obtained including in the picture the action of Galois groups.
The elliptic Stark conjecture formulated by H. Darmon, A. Lauder and V. Rotger purposes a p-adic analogue of the equivariant Birch and Swinnerton-Dyer conjecture, under several assumption. In their paper, the authors formulate the conjecture and prove it in some cases of good reduction of E at p using Garrett-Hida method and performing a factorization of p-adic L-functions. In this dissertation we focus on the elliptic Stark conjecture and we show how it is possible to extend the result of Darmon, Lauder and Rotger.
In the case of good reduction of E at p we can slightly extend the result using Hida-Rankin method. This method also gives us a better control of the constants appearing in the result, thus yielding an explicit formula which contains invariants associated with the elliptic curve. To achieve the proof we mimic the main result of Darmon, Lauder and Rotger in our setting and we make use of a p-adic Gross-Zagier formula which relates special values of the Bertolini-Darmon-Prasanna p-adic L-function to Heegner points.
In a second moment we extend both our result and Darmon-Lauder-Rotger result to the case of multiplicative reduction of E at p. In this setting we cannot use Bertolini-Darmon-Prasanna p-adic L-function due to some technical reasons. To avoid the problem we consider Castella's two variables p-adic L-function. We use both Garrett-Hida method and Hida-Rankin method. In the two cases we obtain formulae which are similar to those of the good reduction setting.Sigui K/Q un cos de nombres i sigui L(K,s) la funció L de Dedekind associada. La fórmula analítica del nombre de classes relaciona els valors especials de L(K,s) amb invariants algebraics del cos K. Aquesta formula admet un refinament Galois equivariant conegut com les conjectures de Stark. En el cas de les corbes el·líptiques ens trobem amb un escenari similar. Sigui E/Q una corba el·líptica i sigui L(E/Q,s) la seva L-sèrie complexa. La conjectura de Birch i Swinnerton-Dyer relaciona el comportament de L(E/Q,s) en el punt central crític s=1 amb l'estructura del conjunt de punts racionals de l'equació definida per E. La versió Galois-equivariant proporciona un refinament d'aquesta conjectura per al canvi de base d'E a un cos de nombres K qualsevol. La conjectura el·líptica de Stark formulada per H. Darmon, A. Lauder i V. Rotger proposa un anàleg p-àdic de la conjectura Galois-equivariant de Birch i Swinnerton-Dyer, sota vàries hipòtesis. En el seu article, els autors formulen la conjectura i la demostren en alguns casos on el primer p és un primer de bona reducció per E, usant el mètode de Garrett-Hida i demostrant pel camí una factorització de funcions L p-àdiques. En aquesta tesi doctoral estudiem i demostrem nous resultats sobre la conjectura el¿líptica de Darmon-Lauder-Rotger En el cas on p és un primer de bona reducció per E, refinem el resultat principal de Darmon-Lauder-Rotger mitjançant el mètode de Rankin-Hida, que ens dóna un millor control de les constants que apareixen en les demostracions i ens permet demostrar una fórmula explícita que involucra invariants globals associats a la corba el¿líptica. Per aconseguir-ho generalitzem la estratègia de Darmon, Lauder and Rotger, tot utilitzant la p-adic Gross-Zagier formula que relaciona els valors especials de la funció L p-àdica de Bertolini-Darmon-Prasanna amb punts de Heegner. L'altre resultat principal d'aquesta tesi és la demostració de la conjectura el·líptica de Stark en un cas on E té reducció multiplicativa en el primer p. Per a fer-ho explotem la funció L p-àdica de F. Castellà, que és una generalització a dos variables de la funció L p-àdica de Bertolini-Darmon-Prasanna.
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Hussner, Thomas. "The p-adic zeta functions of Chevalley groups." [S.l. : s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=971952256.
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Miller, Justin Thomson. "On p-adic Continued Fractions and Quadratic Irrationals." Diss., The University of Arizona, 2007. http://hdl.handle.net/10150/194074.
Full textAbstract:
In this dissertation we investigate prior definitions for p-adic continued fractions and introduce some new definitions. We introduce a continued fraction algorithm for quadratic irrationals, prove periodicity for Q₂ and Q₃, and numerically observe periodicity for Q(p) when p < 37. Various observations and calculations regarding this algorithm are discussed, including a new type of symmetry observed in many of these periods, which is different from the palindromic symmetry observed for real continued fractions and some previously defined p-adic continued fractions. Other results are proved for p-adic continued fractions of various forms. Sufficient criteria are given for a class of p-adic continued fractions of rational numbers to be finite. An algorithm is given which results in a periodic continued fraction of period length one for √D ∈ Zˣ(p), D ∈ Z, D non-square; although, different D require different parameters to be used in the algorithm. And, a connection is made between continued fractions and de Weger’s approximation lattices, so that periodic continued fractions can be generated from a periodic sequence of approximation lattices, for square roots in Zˣ(p). For simple p-adic continued fractions with rational coefficients, we discuss observations and calculations related to Browkin’s continued fraction algorithms. In the last chapter, we apply some of the definitions and techniques developed in the earlier chapters for Q(p) and Z to the t-adic function field case F(q)((t)) and F(q)[t], respectively. We introduce a continued fraction algorithm for quadratic irrationals in F(q)((t)) that always produces periodic continued fractions.
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Sasaki, Shu. "The arithmetic of p-adic Hilbert modular forms." Thesis, Imperial College London, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.485404.
Full textAbstract:
The underlying motivation of the thesis is to generalise the techniques of Buzzard-Taylor and Buzzard to a totally real field F. Their novel approach to modularity of Galois representations via knowing conditions under which an overconvergent Up-eigenform is indeed a classical modular forms, was instrumental in proving new cases of Arlin conjecture for Q and has also been important in the modern theory of p-adic modular forms. My thesis is an exploration of their ideas in the Hilbert case. Analytic continuation of overconvergent Hilbert eigenfor~s depends fundamentally on the rigid geometry of Hilbert modular varieties. The model Deligne-Pappas considered, is highly singular at fibres over ramified primes and in order to avoid technical problems arising from geometry, I construct, in the first chapter, a model over the integers of a finite extension of Qp which desingularises the Deligne-Pappas model, using ideas from Pappas-Rapoport on local models. In the second chapter, I prove an analogue. in the Hilbert case where p splits completely in F, of Coleman's theorem- an overconvergent Up-eigenform of small slope is classical. The methodology is to generalise the earlier work of Buzzard on analytic continuation of overconvergent Up-eigenforms (non-ordinary loci) and then apply Kassaei's idea (ordinary loci) to glue overconvergent forms in the absence of companion forms.
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Ramero, Lorenzo. "An â-adic Fourier transform over local fields." Thesis, Massachusetts Institute of Technology, 1994. http://hdl.handle.net/1721.1/28040.
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Chambille, Saskia. "Exponential sums, cell decomposition and p-adic integration." Thesis, Lille 1, 2018. http://www.theses.fr/2018LIL1I023/document.
Full textAbstract:
Dans cette thèse nous étudions des sommes exponentielles et des intégrales p-adiques, en utilisant la théorie des modèles et la géométrie. La première partie traite des sommes exponentielles dans des corps P-minimaux. La deuxième partie examine le comportement asymptotique des sommes exponentielles sur les corps p-adiques. Dans la première partie nous commençons par démontrer une théorème de décomposition cellulaire pour tous les corps P-minimaux, c.-à-d. indépendamment de l’existence des fonctions de Skolem définissables. En l’absence de ces fonctions nous introduisons les cellules en grappe régulières, inspirés par la notion classique de cellule p-adique de Denef. Notre décomposition cellulaire utilise les cellules classiques et les cellules en grappe régulières. Ensuite nous étendons la notion de fonction constructible exponentielle des structures semi-algébriques et sous-analytiques à tous les corps P-minimaux. Pour cela nous ajoutons des sommes exponentielles aux algèbres des fonctions constructibles. En utilisant notre décomposition cellulaire, nous démontrons que les fonctions constructibles exponentielles sont stables dans le contexte d’intégration. Cela signifie que l’intégration d’une fonction constructible exponentielle sur certaines de ses variables produit une fonction constructible exponentielle dans les autres variables. Dans la deuxième partie nous démontrons les conjectures d’Igusa, Denef-Sperber et Cluckers-Veys sur le comportement asymptotique des sommes exponentielles pour les polynômes dont le seuil log-canonique ne dépasse pas un demi. Nous apportons deux démonstrations ; l’une utilise l’intégration motivique et l’autre les fonctions zêtas d’IgusaIn this thesis we study p-adic exponential sums and integrals using ideas from model theory and geometry. The first part of this thesis deals with exponential sums in P-minimal fields. The second part discusses estimates for the asymptotic behaviour of exponential sums over p-adic fields. Our work on P-minimal fields starts with the proof of a cell decomposition theorem that holds in all P-minimal fields, i.e., independently of the existence of definable Skolem functions. For P-minimal fields that lack these functions, we introduce the notion of regular clustered cells. This notion is close to the classical notion of p-adic cells, that was introduced by Denef. Our cell decomposition uses both classical cells and regular clustered cells. Next, we extend the notion of exponential-constructible functions, already defined in the semi-algebraic and subanalytic setting, to all P-minimal fields. We do this by enlarging the algebras of constructible functions with exponential sums. Using our cell decomposition theorem we prove that exponential-constructible functions are stable under integration. This means that the act of integrating an exponential-constructible function over some of its variables produces an exponential-constructible function in the other variables. In our work on estimates for the asymptotic behaviour of exponential sums we prove the Igusa, Denef-Sperber and Cluckers-Veys conjectures for polynomials with log-canonical threshold at most one half. We give two different proofs, one using motivic integration, and the other one using the Igusa zeta functions
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Kashio, Tomokazu. "On a p-adic analogue of Shintani's formula." 京都大学 (Kyoto University), 2005. http://hdl.handle.net/2433/145064.
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Kyoto University (京都大学)0048
新制・課程博士
博士(理学)
甲第11295号
理博第2853号
新制||理||1427(附属図書館)
22938
UT51-2005-D46
京都大学大学院理学研究科数学･数理解析専攻
(主査)教授 吉田 敬之, 教授 齋藤 裕, 教授 三輪 哲二
学位規則第4条第1項該当
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Takemori, Sho. "p-adic Siegel-Eisenstein series of degree two." 京都大学 (Kyoto University), 2013. http://hdl.handle.net/2433/175093.
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Austin, Andrea Jane. "Confessions of a heroine addict, women's parodic romance, 1750-1820." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp03/NQ45261.pdf.
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Santos, Clayton Ezequiel dos. "A reincidência na drogadição a partir da visão do adicto /." Assis : [s.n], 2005. http://hdl.handle.net/11449/97672.
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Orientador: Abílio da Costa-RosaResumo: Este estudo teve como objetivo examinar o fenômeno da reincidência na drogadição a partir da visão do adicto. O trabalho foi realizado em equipamento especializado no tratamento da dependência química e problemas relacionados ao uso de álcool e outras drogas, contando com a participação de onze sujeitos. O trabalho, dentro do referencial teórico psicanalítico, partiu da escuta da drogadição, com o enquadre das entrevistas preliminares dentro do referencial da clínica da urgência em psicanálise. Os resultados do trabalho de escuta e de reflexão apontaram a questão da reincidência como um falso problema para os sujeitos, já que estes demonstraram que a desintoxicação, concomitante à abstinência provocada pela internação, é somente um momento de privação do gozo propiciado pela droga, ao qual se segue, via de regra, um novo período de uso. A abstinência não significa que os sujeitos fazem uma renúncia correlata ao desejo da droga, é apenas uma parada provavelmente ligada à menor tolerância ao embate provocado pelo tipo de gozo em ação nos casos apresentados. A abstinência forçada, como estratégia presente nos tratamentos comuns da drogadição, mostrou-se de conseqüências altamente negativas para os efeitos obtidos pelos mesmos.
Abstract: This survey is aimed at examining the drugaddiction reincidence phenomenon from the addict's point of view. The survey was held at the Chemical Dependence Attention Center of the Healthcare Service Dr. Cândido Ferreira in the city of Campinas/SP, counting on the participation of eleven subjects. The survey, within the psychoanalytic theoretical allusion, started from listening to the addict, with the focus on the preliminary interviews within the reference on the clinics of urgency in psychoanalysis. The results of listening and consideration activities pinpointed to the reincidence issue as a fake problem to the subjects, whereas these have manifested that the unpoisoning, concomitant to the abstinence triggered by internment, is only a moment of bereavement of delight propitiated by the drug, to which a new period of use commonly follows. The abstinence does not mean that the subjects reciprocally resign the desire of the drug, but it is only a pause probably linked to the minor tolerance to the onset provoked by the type of delight in action on the presented cases. The compelled abstinence, as a current strategy on common drugaddiction treatments, has shown highly negative consequences for the effects obtained from them.
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Santos, Clayton Ezequiel dos [UNESP]. "A reincidência na drogadição a partir da visão do adicto." Universidade Estadual Paulista (UNESP), 2005. http://hdl.handle.net/11449/97672.
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santos_ce_me_assis.pdf: 620057 bytes, checksum: 164e88370deda8a8a6e9d3c48d7573a9 (MD5)Este estudo teve como objetivo examinar o fenômeno da reincidência na drogadição a partir da visão do adicto. O trabalho foi realizado em equipamento especializado no tratamento da dependência química e problemas relacionados ao uso de álcool e outras drogas, contando com a participação de onze sujeitos. O trabalho, dentro do referencial teórico psicanalítico, partiu da escuta da drogadição, com o enquadre das entrevistas preliminares dentro do referencial da clínica da urgência em psicanálise. Os resultados do trabalho de escuta e de reflexão apontaram a questão da reincidência como um falso problema para os sujeitos, já que estes demonstraram que a desintoxicação, concomitante à abstinência provocada pela internação, é somente um momento de privação do gozo propiciado pela droga, ao qual se segue, via de regra, um novo período de uso. A abstinência não significa que os sujeitos fazem uma renúncia correlata ao desejo da droga, é apenas uma parada provavelmente ligada à menor tolerância ao embate provocado pelo tipo de gozo em ação nos casos apresentados. A abstinência forçada, como estratégia presente nos tratamentos comuns da drogadição, mostrou-se de conseqüências altamente negativas para os efeitos obtidos pelos mesmos.
This survey is aimed at examining the drugaddiction reincidence phenomenon from the addict’s point of view. The survey was held at the Chemical Dependence Attention Center of the Healthcare Service Dr. Cândido Ferreira in the city of Campinas/SP, counting on the participation of eleven subjects. The survey, within the psychoanalytic theoretical allusion, started from listening to the addict, with the focus on the preliminary interviews within the reference on the clinics of urgency in psychoanalysis. The results of listening and consideration activities pinpointed to the reincidence issue as a fake problem to the subjects, whereas these have manifested that the unpoisoning, concomitant to the abstinence triggered by internment, is only a moment of bereavement of delight propitiated by the drug, to which a new period of use commonly follows. The abstinence does not mean that the subjects reciprocally resign the desire of the drug, but it is only a pause probably linked to the minor tolerance to the onset provoked by the type of delight in action on the presented cases. The compelled abstinence, as a current strategy on common drugaddiction treatments, has shown highly negative consequences for the effects obtained from them.