Дисертації з теми "010101 Algebra and Number Theory"
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Bingham, Aram. "Commutative n-ary Arithmetic." ScholarWorks@UNO, 2015. http://scholarworks.uno.edu/td/1959.
Повний текст джерелаSordo, Vieira Luis A. "ON P-ADIC FIELDS AND P-GROUPS." UKnowledge, 2017. http://uknowledge.uky.edu/math_etds/43.
Повний текст джерелаAlnominy, Madai Obaid. "Monomial Progenitors and Related Topics." CSUSB ScholarWorks, 2018. https://scholarworks.lib.csusb.edu/etd/619.
Повний текст джерелаSalt, Brittney M. "MONOID RINGS AND STRONGLY TWO-GENERATED IDEALS." CSUSB ScholarWorks, 2014. https://scholarworks.lib.csusb.edu/etd/31.
Повний текст джерелаConstable, Jonathan A. "Kronecker's Theory of Binary Bilinear Forms with Applications to Representations of Integers as Sums of Three Squares." UKnowledge, 2016. http://uknowledge.uky.edu/math_etds/35.
Повний текст джерелаGopalan, Parikshit. "Computing with Polynomials over Composites." Diss., Georgia Institute of Technology, 2006. http://hdl.handle.net/1853/11564.
Повний текст джерелаMunoz, Susana L. "A Fundamental Unit of O_K." CSUSB ScholarWorks, 2015. https://scholarworks.lib.csusb.edu/etd/133.
Повний текст джерелаFávaro, Eduardo Rogério [UNESP]. "Corpos cujo condutor é potência de primo: caracterização e reticulados ideais associados." Universidade Estadual Paulista (UNESP), 2012. http://hdl.handle.net/11449/100063.
Повний текст джерелаFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
Este trabalho esta relacionado com a Teoria Algébrica dos Números e aplicações em Reticulados Ideais. Descrevemos os corp os cujo condutor e potência de primo. Quando o primo e dois, descrevemos tamb em o anel de inteiros. Quando o primo e mpar calculamos o discriminante de um modo alternativo ao existente na literatura. Neste caso, e quando o corpo tem como grau o pr oprio primo mpar, descrevemos o anel de inteiros com uma base integral e a forma traço associada, além do mínimo euclidiano. Com isso, obtemos uma família de reticulados ideais de dimensão prima ímpar
This work is relate to Algebric Number Theory and applications in Ideal Lattices. We describ e numb er elds with p ower prime conductor. In the case prime two, we showed the ring of integers. For o dd prime, we give a new pro of for formula of discrimanate. In the case that the the degree of the eld is the o dd prime, we describ e the ring of integers, the trace form asso ciated and the Euclidean minimum. With this, we have a family of ideal lattices in odd prime dimension
Shaughnessy, John F. "Finding Zeros of Rational Quadratic Forms." Scholarship @ Claremont, 2014. http://scholarship.claremont.edu/cmc_theses/849.
Повний текст джерелаSamson, Duncan Alistair. "An analysis of the influence of question design on pupils' approaches to number pattern generalisation tasks." Thesis, Rhodes University, 2008. http://hdl.handle.net/10962/d1003302.
Повний текст джерелаSouza, Romario Sidrone [UNESP]. "Equações diofantinas lineares, quadráticas e aplicações." Universidade Estadual Paulista (UNESP), 2017. http://hdl.handle.net/11449/149949.
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Este trabalho é resultado de uma pesquisa bibliográfica sobre Diofanto e as equações que levam seu nome, as equações diofantinas. Mais especificamente, apresentamos as equações diofantinas lineares e alguns casos particulares das equações diofantinas quadráticas. Ainda, abordamos um estudo sobre alguns tópicos de teoria dos números e frações contínuas, afim de facilitar o entendimento sobre os teoremas e resultados acerca do tema central deste trabalho.
This work is the result of a bibliographical research about Diophantus and the equations that take his name, the Diophantine equations. More specifically, we present the linear diophantine equations and some particular cases of the quadratic diophantine equations. We have also studied topics about number theory and continuous fractions, in order to facilitate the understanding of theorems and results that are related to the central theme of this work.
Truman, Paul James. "Hopf-Galois module structure of some tamely ramified extensions." Thesis, University of Exeter, 2009. http://hdl.handle.net/10036/71817.
Повний текст джерелаSilva, Paulo Roberto da [UNESP]. "Tópicos de teoria dos números algébricos e aplicações em reticulados e equações diofantinas." Universidade Estadual Paulista (UNESP), 2015. http://hdl.handle.net/11449/134025.
Повний текст джерелаNeste trabalho é feito um estudo sobre tópicos de Teoria dos Números Algébricos como extensão de corpos, decomposição de ideais primos, corpos quadráticos e ciclotômicos, número de classe e unidade. Nosso principal objetivo é apresentar uma aplicação dessa teoria na construção de reticulados e solução de equações diofantinas
This work presents a study of topics in algebraic number theory as eld extensions, prime ideal decomposition, quadratic and cyclotomic elds, class number and units. Our main goal is to present an application of this theory in the construction of lattices and solution of Diophantine equations
Silva, Alexsandro BelÃm da. "FamÃlias infinitas de corpos quadrÃticos imaginÃrios." Universidade Federal do CearÃ, 2010. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=5664.
Повний текст джерелаCoordenaÃÃo de AperfeiÃoamento de Pessoal de NÃvel Superior
Seja ℓ > 3 um primo Ãmpar. Sejam So, S+, S_ conjuntos finitos mutuamente disjuntos de primos racionais. Para qualquer nÃmero real suficientemente grande X > 0, baseando-nos em [16], damos neste trabalho, um limite inferior do nÃmero de corpos quadrÃticos imaginÃrios k que satisfazem as seguintes condiÃÃes: o discriminante de k à maior que -X o nÃmero de classe de k à nÃo divisÃvel por ℓ, todo q â So se ramifica, todo q â S+ se decompÃe e todo q â S_ à inerte em k, respectivamente.
Let ℓ > 3 be an odd prime. Let So, S+, S_ be mutually disjoint finite sets of rational primes. For any suficiently large real number X > 0, basing ourselves on [16], we give this paper a lower bound of the number of imaginary quadratic fields k which satisfy the following conditions: the discriminant of k is greater than -X, the class number ok is not divisible by ℓ, every q â So ramifies, every q â S+ splits and every q â S_ is inert in k, respectively.
Santos, Jefferson Marques. "Altura e equidistribuição de pontos algébricos." Universidade Federal de Goiás, 2017. http://repositorio.bc.ufg.br/tede/handle/tede/7564.
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The concept of roots of a polynomial is quite simple but has several applications. This concept extends more generally to the case of "small" algebraic points sequences in a curve. This dissertation aims to estimate the size of algebraic numbers by means of Weil height. In addition to showing that they are distributed evenly around the unit circle, through Bilu Equidistribution Theorem.
O conceito de raízes de um polinômio é bastante simples mas possui várias aplicações. Este conceito se estende de forma mais geral para o caso de sequências de pontos algébricos “pequenos” em uma curva. Esta dissertação tem por objetivo estimar o tamanho de números algébricos por meio da altura de Weil. Além de mostrar que os mesmos se distribuem uniformemente em torno do círculo unitário, por meio do Teorema de Equidistribuição de Bilu.
Rezola, Nolberto. "Unique Prime Factorization of Ideals in the Ring of Algebraic Integers of an Imaginary Quadratic Number Field." CSUSB ScholarWorks, 2015. https://scholarworks.lib.csusb.edu/etd/205.
Повний текст джерелаSvanström, Fredrik. "Properties of a generalized Arnold’s discrete cat map." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-35209.
Повний текст джерелаOliveira, Silvio Barbosa de. "As equações diofantinas lineares e o livro didático de matemática para o ensino médio." Pontifícia Universidade Católica de São Paulo, 2006. https://tede2.pucsp.br/handle/handle/11059.
Повний текст джерелаThis work involves a qualitative study of how the theme of linear Diophantine equations is approached in mathematics textbooks for high school students. Using the methods associated with content analysis (Bardin, 1977), I search for references, in both explicit and implicit forms, to these equations in two different sets of high school mathematics textbooks, both of which had been approved in the last PNLEM (a national project for the assessment of high school textbooks). Although elementary number theory has been highlighted by researchers in mathematics education, such as Campbell and Zazkis (2002), as a subject apt for the introduction and development of fundamental mathematical ideas in compulsory education, the results of this investigation indicate that it receives little attention in the textbooks analysed
Neste trabalho apresento um estudo qualitativo sobre a abordagem dada pelo livro didático do Ensino Médio ao tema equações diofantinas lineares . Por meio de uma análise de conteúdo, segundo Bardin (1977), busquei o assunto em sua forma explícita e implícita em duas coleções de Matemática para o Ensino Médio, aprovadas no último PNLEM. Embora a Teoria Elementar dos Números venha sendo tratada por pesquisadores de Educação Matemática, como Campbell e Zazkis (2002), como assunto propício para a introdução e desenvolvimento de idéias matemáticas fundamentais, no Ensino Básico, os resultados desta investigação indicam a pouca exploração do assunto por parte das coleções analisadas
Costa, Eduardo Sad da. "As Equações Diofantinas Lineares e o Professor de Matemática do Ensino Médio." Pontifícia Universidade Católica de São Paulo, 2007. https://tede2.pucsp.br/handle/handle/11124.
Повний текст джерелаCoordenação de Aperfeiçoamento de Pessoal de Nível Superior
This work involves a qualitative study about whether and how mathematics High-School teachers work with their students the trouble-situations regarding linear Diophantine equations. The study was performed by means of analyzing semi-structured interviews applied on six mathematics teachers from the states of São Paulo and Minas Gerais, teaching at high-school level. The Numbers Elementary Theory has been treated by several researchers on Mathematical Education, as Campbell e Zazkis (2002), Resende (2007), as an adequate subject for the introduction and development of fundamental Mathematical ideas in High- School. However, the results of such investigation show that, although the interviewed teachers affirmed that they did work with problems of discreet mathematics that can be modeled through linear Diophantine equations, none of them seemed to work with their students using the knowledge of these equations properties in order to decide whether they have solution, and what these solutions would be
Neste trabalho apresento um estudo qualitativo sobre se, e como, professores de Matemática do Ensino Médio trabalham com seus alunos situações-problema que recaem em equações diofantinas lineares. O estudo foi feito por meio da análise de entrevistas semi-estruturadas realizadas com seis professores de Matemática dos estados de São Paulo e Minas Gerais que lecionam no Ensino Médio. A Teoria Elementar dos Números vem sendo tratada por diversos pesquisadores de Educação Matemática, como Campbell & Zazkis (2002), Resende (2007), como assunto propício para a introdução e desenvolvimento de idéias Matemáticas fundamentais no Ensino Básico. No entanto os resultados desta investigação indicam que embora os professores entrevistados afirmassem trabalhar com problemas de matemática discreta modeláveis via equação diofantina linear, nenhum deles deu indícios de trabalhar com seus alunos utilizando conhecimentos das propriedades dessas equações para decidir se as mesmas tem solução e quais seriam essas soluções
Amorós, Carafí Laia. "Images of Galois representations and p-adic models of Shimura curves." Doctoral thesis, Universitat de Barcelona, 2016. http://hdl.handle.net/10803/471452.
Повний текст джерелаSofo, Anthony. "Summing series using residues." Thesis, 1998. https://vuir.vu.edu.au/15695/.
Повний текст джерелаKent, Richard Peabody. "Geometry and algebra of hyperbolic 3-manifolds." Thesis, 2006. http://hdl.handle.net/2152/2732.
Повний текст джерелаJonck, Elizabeth. "The path partition number of a graph." Thesis, 2012. http://hdl.handle.net/10210/7118.
Повний текст джерелаThe induced path number p(G) of a graph G is defined as the minimum number of subsets into which the vertex set V(G) of G can be partitioned such that each subset induces a path. In this thesis we determine the induced path number of a complete £-partite graph. We investigate the induced path number of products of complete graphs, of the complement of such products and of products of cycles. For a graph G, the linear vertex arboricity lva(G) is defined as the minimum number of subsets into which the vertex set of C can be partitioned so that each subset induces a linear forest. Since each path is a linear forest, Iva(G) p(G) for each graph C. A graph G is said to be uniquely rn-li near- forest- partition able if lva(C) = in and there is only one partition of V(G) into m subsets so that each subset induces a linear forest. Furthermore, a graph C is defined to be nz- Iva- saturated if Iva(G) < in and lva(C + e) > iii for each e E We construct graphs that are uniquely n2-linear-forest-partitionable and in-lva-saturated. We characterize those graphs that are uniquely m-linear-forest-partitionable and rn-lvasaturated. We also characterize the orders of uniquely in- path- partitionable disconnected, connected and rn-p-saturated graphs. We look at the influence of the addition or deletion of a vertex or an edge on the path partition number. If C is a graph such that p(G) = k and p(G - v) = k - 1 for every v E V(G), then we say that C is k-minus-critical. We prove that if C is a connected graph consisting of cyclic blocks Bi with p(B1 ) = b, for i = 1,2, ... ,n where ii > 2 and k bi - n+ 1, then C is k- minus- critical if and only if each of the blocks B1 is a bj- minus- critical graph.
Smith, Harold Justin. "Fractions of Numerical Semigroups." 2010. http://trace.tennessee.edu/utk_graddiss/750.
Повний текст джерелаSamson, Duncan Alistair. "An analysis of the influence of question design on pupils' approaches to number pattern generalisation tasks /." 2007. http://eprints.ru.ac.za/1121/.
Повний текст джерела(9010904), Tyler R. Billingsley. "Effective Injectivity of Specialization Maps for Elliptic Surfaces." Thesis, 2020.
Знайти повний текст джерелаThis dissertation concerns two questions involving the injectivity of specialization homomorphisms for elliptic surfaces. We primarily focus on elliptic surfaces over the projective line defined over the rational numbers. The specialization theorem of Silverman proven in 1983 says that, for a fixed surface, all but finitely many specialization homomorphisms are injective. Given a subgroup of the group of rational sections with explicit generators, we thus ask the following.
Given some rational number, how can we effectively determine whether or not the associated specialization map is injective?
What is the set of rational numbers such that the corresponding specialization maps are injective?
The classical specialization theorem of Neron proves that there is a set S which differs from a Hilbert subset of the rational numbers by finitely many elements such that for each number in S the associated specialization map is injective. We expand this into an effective procedure that determines if some rational number is in S, yielding a partial answer to question 1. Computing the Hilbert set provides a partial answer to question 2, and we carry this out for some examples. We additionally expand an effective criterion of Gusic and Tadic to include elliptic surfaces with a rational 2-torsion curve.
(11186268), Razan Taha. "p-adic Measures for Reciprocals of L-functions of Totally Real Number Fields." Thesis, 2021.
Знайти повний текст джерелаIrick, Brian C. "On the Irreducibility of the Cauchy-Mirimanoff Polynomials." 2010. http://trace.tennessee.edu/utk_graddiss/707.
Повний текст джерелаAmberker, B. B. "Large-Scale Integer And Polynomial Computations : Efficient Implementation And Applications." Thesis, 1996. http://etd.iisc.ernet.in/handle/2005/1678.
Повний текст джерела(11204136), Chris Karl Neuffer. "Genera of Integer Representations and the Lyndon-Hochschild-Serre Spectral Sequence." Thesis, 2021.
Знайти повний текст джерелаElzinga, Randall J. "The Minimum Witt Index of a Graph." Thesis, 2007. http://hdl.handle.net/1974/682.
Повний текст джерелаThesis (Ph.D, Mathematics & Statistics) -- Queen's University, 2007-09-04 15:38:47.57
(10717026), Heng Du. "Arithmetic Breuil-Kisin-Fargues modules and several topics in p-adic Hodge theory." Thesis, 2021.
Знайти повний текст джерелаLet K be a discrete valuation field with perfect residue field, we study the functor from weakly admissible filtered (φ,N,GK)-modules over K to the isogeny category of Breuil- Kisin-Fargues GK-modules. This functor is the composition of a functor defined by Fargues-Fontaine from weakly admissible filtered (φ,N,GK)-modules to GK-equivariant modifications of vector bundles over the Fargues-Fontaine curve XFF , with the functor of Fargues-Scholze that between the category of admissible modifications of vector bundles over XFF and the isogeny category of Breuil-Kisin-Fargues modules. We characterize the essential image of this functor and give two applications of our result. First, we give a new way of viewing the p-adic monodromy theorem of p-adic Galois representations. Also we show our theory provides a universal theory that enable us to compare many integral p-adic Hodge theories at the Ainf level.
(8782541), Dongming She. "Local Langlands Correpondence for the twisted exterior and symmetric square epsilon-factors of GL(N)." Thesis, 2020.
Знайти повний текст джерела(10732485), Clinton W. Bradford. "Square Forms Factoring with Sieves." Thesis, 2021.
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