Academic literature on the topic 'Number Theory and Field Theory'
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Journal articles on the topic "Number Theory and Field Theory"
Albu, Toma. "Field Theoretic Cogalois Theory via Abstract Cogalois Theory." Journal of Pure and Applied Algebra 208, no. 1 (January 2007): 101–6. http://dx.doi.org/10.1016/j.jpaa.2005.11.008.
Full textIkeda, Kâzim Ilhan, and Erol Serbest. "Ramification theory in non-abelian local class field theory." Acta Arithmetica 144, no. 4 (2010): 373–93. http://dx.doi.org/10.4064/aa144-4-4.
Full textDunne, Gerald V., and Christian Schubert. "Bernoulli number identities from quantum field theory and topological string theory." Communications in Number Theory and Physics 7, no. 2 (2013): 225–49. http://dx.doi.org/10.4310/cntp.2013.v7.n2.a1.
Full textNiemi, A. J., and G. W. Semenoff. "Fermion number fractionization in quantum field theory." Physics Reports 135, no. 3 (April 1986): 99–193. http://dx.doi.org/10.1016/0370-1573(86)90167-5.
Full textErshov, Yu L. "Local class field theory." St. Petersburg Mathematical Journal 15, no. 06 (November 16, 2004): 837–47. http://dx.doi.org/10.1090/s1061-0022-04-00834-9.
Full textHess, Florian, and Maike Massierer. "Tame class field theory for global function fields." Journal of Number Theory 162 (May 2016): 86–115. http://dx.doi.org/10.1016/j.jnt.2015.10.004.
Full textSaito, Shuji. "Class field theory for curves over local fields." Journal of Number Theory 21, no. 1 (August 1985): 44–80. http://dx.doi.org/10.1016/0022-314x(85)90011-3.
Full textPoudel, Parashu Ram. "Unified Field Theory." Himalayan Physics 4 (December 23, 2013): 87–90. http://dx.doi.org/10.3126/hj.v4i0.9435.
Full textHiranouchi, Toshiro. "Class field theory for open curves over local fields." Journal de Théorie des Nombres de Bordeaux 30, no. 2 (2018): 501–24. http://dx.doi.org/10.5802/jtnb.1036.
Full textMiura, Kei, and Hisao Yoshihara. "Field Theory for Function Fields of Plane Quartic Curves." Journal of Algebra 226, no. 1 (April 2000): 283–94. http://dx.doi.org/10.1006/jabr.1999.8173.
Full textDissertations / Theses on the topic "Number Theory and Field Theory"
Rozario, Rebecca. "The Distribution of the Irreducibles in an Algebraic Number Field." Fogler Library, University of Maine, 2003. http://www.library.umaine.edu/theses/pdf/RozarioR2003.pdf.
Full textRakotoniaina, Tahina. "Explicit class field theory for rational function fields." Thesis, Link to the online version, 2008. http://hdl.handle.net/10019/1993.
Full textBriggs, Matthew Edward. "An Introduction to the General Number Field Sieve." Thesis, Virginia Tech, 1998. http://hdl.handle.net/10919/36618.
Full textMaster of Science
Hughes, Garry. "Distribution of additive functions in algebraic number fields." Title page, contents and summary only, 1987. http://web4.library.adelaide.edu.au/theses/09SM/09smh893.pdf.
Full textMcLeman, Cameron William. "A Golod-Shafarevich Equality and p-Tower Groups." Diss., The University of Arizona, 2008. http://hdl.handle.net/10150/194026.
Full textSolomon, Y. J. "A critique of psychological theories of number development and a reorientation of the field." Thesis, Lancaster University, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.374154.
Full textSwanson, Colleen M. "Algebraic number fields and codes /." Connect to online version, 2006. http://ada.mtholyoke.edu/setr/websrc/pdfs/www/2006/172.pdf.
Full textBamunoba, Alex Samuel. "Cyclotomic polynomials (in the parallel worlds of number theory)." Thesis, Stellenbosch : Stellenbosch University, 2011. http://hdl.handle.net/10019.1/17865.
Full textENGLISH ABSTRACT: It is well known that the ring of integers Z and the ring of polynomials A = Fr[T] over a finite field Fr have many properties in common. It is due to these properties that almost all the famous (multiplicative) number theoretic results over Z have analogues over A. In this thesis, we are devoted to utilising this analogy together with the theory of Carlitz modules. We do this to survey and compare the analogues of cyclotomic polynomials, the size of their coefficients and cyclotomic extensions over the rational function field k = Fr(T).
AFRIKAANSE OPSOMMING: Dit is bekend dat Z, die ring van heelgetalle en A = Fr[T], die ring van polinome oor ’n eindige liggaam baie eienskappe in gemeen het. Dit is as gevolg van hierdie eienskappe dat feitlik al die bekende multiplikative resultate wat vir Z geld, analoë in A het. In hierdie tesis, fokus ons op die gebruik van hierdie analogie saam met die teorie van die Carlitz module. Ons doen dit om ’n oorsig oor die analoë van die siklotomiese polinome, hul koëffisiënte, en siklotomiese uitbreidings oor die rasionele funksie veld k = Fr(T).
Cipra, James Arthur. "Waring’s number in finite fields." Diss., Kansas State University, 2010. http://hdl.handle.net/2097/4152.
Full textDepartment of Mathematics
Todd E. Cochrane
This thesis establishes bounds (primarily upper bounds) on Waring's number in finite fields. Let $p$ be a prime, $q=p^n$, $\mathbb F_q$ be the finite field in $q$ elements, $k$ be a positive integer with $k|(q-1)$ and $t= (q-1)/k$. Let $A_k$ denote the set of $k$-th powers in $\mathbb F_q$ and $A_k' = A_k \cap \mathbb F_p$. Waring's number $\gamma(k,q)$ is the smallest positive integer $s$ such that every element of $\mathbb F_q$ can be expressed as a sum of $s$ $k$-th powers. For prime fields $\mathbb F_p$ we prove that for any positive integer $r$ there is a constant $C(r)$ such that $\gamma(k,p) \le C(r) k^{1/r}$ provided that $\phi(t) \ge r$. We also obtain the lower bound $\gamma(k,p) \ge \frac {(t-1)}ek^{1/(t-1)}-t+1$ for $t$ prime. For general finite fields we establish the following upper bounds whenever $\gamma(k,q)$ exists: $$ \gamma(k,q)\le 7.3n\left\lceil\frac{(2k)^{1/n}}{|A_k^\prime|-1}\right\rceil\log(k), $$ $$ \gamma(k,q)\le8n \left\lceil{\frac{(k+1)^{1/n}-1}{|A^\prime_k|-1}}\right\rceil, $$ and $$ \gamma(k,q)\ll n(k+1)^{\frac{\log(4)}{n\log|\kp|}}\log\log(k). $$ We also establish the following versions of the Heilbronn conjectures for general finite fields. For any $\ve>0$ there is a constant, $c(\ve)$, such that if $|A^\prime_k|\ge4^{\frac{2}{\ve n}}$, then $\gamma(k,q)\le c(\varepsilon) k^{\varepsilon}$. Next, if $n\ge3$ and $\gamma(k,q)$ exists, then $\gamma(k,q)\le 10\sqrt{k+1}$. For $n=2$, we have $\gamma(k,p^2)\le16\sqrt{k+1}$.
Blackhurst, Jonathan H. "Proven Cases of a Generalization of Serre's Conjecture." Diss., CLICK HERE for online access, 2006. http://contentdm.lib.byu.edu/ETD/image/etd1386.pdf.
Full textBooks on the topic "Number Theory and Field Theory"
Weil, André. Basic number theory. Berlin: Springer, 1995.
Find full textLang, Serge. Algebraic number theory. 2nd ed. New York: Springer-Verlag, 1994.
Find full textLang, Serge. Algebraic number theory. New York: Springer-Verlag, 1986.
Find full textJanusz, Gerald J. Algebraic number fields. 2nd ed. Providence, R.I: American Mathematical Society, 1996.
Find full textFried, Michael D. Field arithmetic. 2nd ed. Berlin: Springer, 2005.
Find full text1942-, Jarden Moshe, ed. Field arithmetic. Berlin: Springer-Verlag, 1986.
Find full text1942-, Jarden Moshe, ed. Field arithmetic. 3rd ed. Berlin: Springer, 2008.
Find full textNumber theory in function fields. New York: Springer, 2001.
Find full textBorwein, Jonathan M., Igor Shparlinski, and Wadim Zudilin, eds. Number Theory and Related Fields. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-6642-0.
Full textRosen, Michael. Number Theory in Function Fields. New York, NY: Springer New York, 2002. http://dx.doi.org/10.1007/978-1-4757-6046-0.
Full textBook chapters on the topic "Number Theory and Field Theory"
Koch, H. "Class Field Theory." In Algebraic Number Theory, 90–150. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-58095-6_2.
Full textVasquez, A. T. "Rational Desingularization of a Curve Defined Over a Finite Field." In Number Theory, 229–50. New York, NY: Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4757-4158-2_12.
Full textYui, Noriko. "The brauer group of the product of two curves over a finite field." In Number Theory, 254–83. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/bfb0074609.
Full textZimmermann, W. "Reduction in the Number of Coupling Parameters." In Quantum Field Theory, 211–25. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-642-70307-2_13.
Full textCohen, Henri. "Computational Class Field Theory." In Advanced Topics in Computional Number Theory, 163–222. New York, NY: Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4419-8489-0_4.
Full textTodorov, Ivan. "Perturbative Quantum Field Theory Meets Number Theory." In Springer Proceedings in Mathematics & Statistics, 1–28. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-37031-2_1.
Full textKleiman, Howard. "On NTU’S in Function Fields." In Number Theory, 219–20. New York, NY: Springer New York, 2004. http://dx.doi.org/10.1007/978-1-4419-9060-0_13.
Full textHriljac, Paul. "Splitting fields of principal homogeneous spaces." In Number Theory, 214–29. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0072982.
Full textKaltofen, Erich, and Noriko Yui. "Explicit Construction of the Hilbert Class Fields of Imaginary Quadratic Fields by Integer Lattice Reduction." In Number Theory, 149–202. New York, NY: Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4757-4158-2_8.
Full textJensen, Erik, and M. Ram Murty. "Artin’s Conjecture for Polynomials Over Finite Fields." In Number Theory, 167–81. Basel: Birkhäuser Basel, 2000. http://dx.doi.org/10.1007/978-3-0348-7023-8_10.
Full textConference papers on the topic "Number Theory and Field Theory"
Hietanen, Ari. "Quark number susceptibility of high temperature QCD." In XXIVth International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2006. http://dx.doi.org/10.22323/1.032.0137.
Full textPanzer, Erik, Thomas Bitoun, Christian Bogner, and René Pascal Klausen. "The number of master integrals as Euler characteristic." In Loops and Legs in Quantum Field Theory. Trieste, Italy: Sissa Medialab, 2018. http://dx.doi.org/10.22323/1.303.0065.
Full textVelytsky, Alexander. "Quark number fluctuations at high temperatures." In The XXVII International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2010. http://dx.doi.org/10.22323/1.091.0159.
Full textGiudice, Pietro, Simon Hands, and Jon-Ivar Skullerud. "Quark number susceptibility at finite density and low temperature." In XXIX International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2012. http://dx.doi.org/10.22323/1.139.0193.
Full textHegde, Prasad. "Quark Number Susceptibilities with Domain-Wall Fermions." In The XXVI International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2009. http://dx.doi.org/10.22323/1.066.0187.
Full textPatel, Apoorva. "Baryon Number Correlation Signals in Heavy Ion Collisions." In The 30th International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2012. http://dx.doi.org/10.22323/1.164.0096.
Full textPetreczky, Peter. "Quark number susceptibilities at high temperatures." In 31st International Symposium on Lattice Field Theory LATTICE 2013. Trieste, Italy: Sissa Medialab, 2014. http://dx.doi.org/10.22323/1.187.0158.
Full textMeng, Xiangfei, Anyi Li, Andrei Alexandru, and Keh-Fei Liu. "Winding number expansion in canonical approach to finite density." In The XXVI International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2009. http://dx.doi.org/10.22323/1.066.0032.
Full textGavai, Rajiv V., and Sayantan Sharma. "On curing the divergences in the quark number susceptibility." In The 32nd International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2015. http://dx.doi.org/10.22323/1.214.0189.
Full textHietanen, Ari, and Kari Rummukainen. "Quark number susceptibility of high temperature and finite density QCD." In The XXV International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2008. http://dx.doi.org/10.22323/1.042.0192.
Full textReports on the topic "Number Theory and Field Theory"
Koroteev, Peter. Morse Theory in Field Theory. GIQ, 2012. http://dx.doi.org/10.7546/giq-8-2007-207-220.
Full textFisher, Michael, Mike Bardzell, and Kurt Ludwick. PascGalois Number Theory Classroom Resources. Washington, DC: The MAA Mathematical Sciences Digital Library, July 2008. http://dx.doi.org/10.4169/loci002637.
Full textMorariu, Bogdan. Noncommutative Geometry in M-Theory and Conformal Field Theory. Office of Scientific and Technical Information (OSTI), May 1999. http://dx.doi.org/10.2172/760324.
Full textHotes, S. A. Understanding conformal field theory through parafermions and Chern Simons theory. Office of Scientific and Technical Information (OSTI), November 1992. http://dx.doi.org/10.2172/6653388.
Full textHotes, Scott A. Understanding conformal field theory through parafermions and Chern Simons theory. Office of Scientific and Technical Information (OSTI), November 1992. http://dx.doi.org/10.2172/10140828.
Full textJaffe, Arthur M. "Quantum Field Theory and QCD". Office of Scientific and Technical Information (OSTI), February 2006. http://dx.doi.org/10.2172/891184.
Full textCaldi, D. G. Studies in quantum field theory. Office of Scientific and Technical Information (OSTI), March 1993. http://dx.doi.org/10.2172/10165764.
Full textSteinhauer, L. C. Theory of field reversed configurations. Office of Scientific and Technical Information (OSTI), January 1990. http://dx.doi.org/10.2172/5072539.
Full textHenyey, Frank S. Internal Wave Theory, Modeling and Theory of the Internal Wave Field. Fort Belvoir, VA: Defense Technical Information Center, April 1995. http://dx.doi.org/10.21236/ada300337.
Full textDunne, Gerald V., Thomas Blum, and Alexander Kovner. Investigations in Particle and Field Theory. Office of Scientific and Technical Information (OSTI), October 2013. http://dx.doi.org/10.2172/1095923.
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