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Abstract analytic number theory
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301	A FINITE FIELD HYPERGEOMETRIC FUNCTION ASSOCIATED TO EIGENVALUES OF A SIEGEL EIGENFORM DERMOT McCARTHY AND MATTHEW A. PAPANIKOLAS Abstract. Although links between values of finite field hypergeometric functions and eigen Add to Reading List Source URL: www.math.tamu.edu Language: English - Date: 2012-05-04 12:30:20 Analytic number theory Spectral theory Representation theory of Lie groups Lie algebras Symbol Weight Modular form Elliptic curve Eigenvalues and eigenvectors Algebra Mathematics Abstract algebra
302	Extending Local Representations to Global Representations Chandrashekhar Khare & Dipendra Prasad 1. Introduction. It is a theorem of Deligne (and Deligne-Serre for weight 1) that for a cuspidal Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2006-11-13 17:11:27 Analytic number theory Representation theory of Lie groups Lie algebras Modular form Moduli theory Elliptic curve Weight Hecke operator Representation theory Abstract algebra Mathematical analysis Mathematics
303	PUBLICATIONS ALEXANDRU BUIUM 1. Research Monographs [1] Differential Function Fields and Moduli of Algebraic Varieties, Lecture Notes in Math. 1226, Springer 1986. Add to Reading List Source URL: www.math.unm.edu Language: English - Date: 2014-04-03 16:02:10 Analytic number theory Differential calculus Algebraic geometry Differential topology Differential geometry Differential algebra Shimura variety Number theory Jet bundle Abstract algebra Mathematical analysis Mathematics
304	SERMON (South East Regional Meeting On Numbers) April[removed], 1999 University of South Carolina Columbia, South Carolina, United States Add to Reading List Source URL: www.math.sc.edu Language: English - Date: 1999-10-20 12:14:43 Analytic number theory Integer sequences Prime number Elliptic curve Bernoulli number Bateman–Horn conjecture Factorization of polynomials over a finite field and irreducibility tests Mathematics Number theory Abstract algebra
305	TRANSCENDENCE OF SPECIAL VALUES OF POCHHAMMER FUNCTIONS MARVIN D. TRETKOFF AND PAULA TRETKOFF Abstract. In this paper, we examine the set of algebraic numbers at which higher order hypergeometric functions take algebraic Add to Reading List Source URL: www.math.tamu.edu Language: English - Date: 2008-08-26 15:40:44 Spectral theory Analytic geometry Lattice Algebraic number field Abelian variety Algebraic variety Fuchsian group Spectral theory of ordinary differential equations Spectral theory of compact operators Abstract algebra Geometry Algebra
306	AN EXPOSITION OF THE SEA ALGORITHM ´ JANOS A. CSIRIK Abstract. The Schoof–Elkies–Atkin algorithm is an efficient way to count Add to Reading List Source URL: www.csirik.net Language: English - Date: 2014-01-19 15:08:47 Finite fields Group theory Elliptic curves Analytic number theory Polynomials Supersingular elliptic curve Schoof–Elkies–Atkin algorithm Resultant XTR Abstract algebra Algebra Mathematics
307	On the Computation of Modular Polynomials for Elliptic Curves Ian F. Blake1 , J´ anos A. Csirik1 , Michael Rubinstein2? , and Gadiel Seroussi1 1 Add to Reading List Source URL: www.csirik.net Language: English - Date: 2014-01-19 15:08:47 Analytic number theory Algebraic curves Polynomials Group theory Elliptic functions Classical modular curve J-invariant Elliptic curve Modular form Abstract algebra Mathematics Algebra
308	COUNTING THE POINTS OF AN ELLIPTIC CURVE ON A LOW-MEMORY DEVICE ´ JANOS A. CSIRIK Add to Reading List Source URL: www.csirik.net Language: English - Date: 2014-01-19 15:08:47 Group theory Number theory Elliptic curves Analytic number theory Schoof–Elkies–Atkin algorithm Elliptic curve cryptography Elliptic curve A. O. L. Atkin Curve Abstract algebra Mathematics Finite fields
309	APPENDIX: POTENTIAL MODULARITY OF ELLIPTIC CURVES OVER TOTALLY REAL FIELDS JEAN-PIERRE WINTENBERGER The following theorem is well known to experts. Theorem 0.1. Let E an elliptic curve over a totally real number field F Add to Reading List Source URL: www-irma.u-strasbg.fr Language: English - Date: 2008-11-21 08:07:51 Galois theory Field theory Group theory Analytic number theory Galois module Algebraic number field Elliptic curve Cyclotomic character Splitting of prime ideals in Galois extensions Abstract algebra Algebra Algebraic number theory
310	A series representation for the Riemann Zeta derived from the Gauss-Kuzmin-Wirsing Operator Linas Vepstas 2 January 2004 (revised 29 August 2005) Abstract Add to Reading List Source URL: linas.org Language: English - Date: 2005-12-09 22:16:06 Dynamical systems Operator theory Special functions Analytic number theory Gauss–Kuzmin–Wirsing operator Riemann zeta function Transfer operator Hurwitz zeta function Riemann hypothesis Mathematical analysis Mathematics Number theory

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