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Analytic number theory
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#	Item
771	Moments of the Riemann Zeta Fun tion and Eisenstein Series I Jennifer Beineke and Daniel Bump June 19, 2003 Abstra t Add to Reading List Source URL: sporadic.stanford.edu Language: English - Date: 2012-01-07 13:12:45 Modular forms Mathematical series Eisenstein series Fractals Riemann zeta function Factorial Mathematical analysis Mathematics Analytic number theory
772	Smooth Orders and Cryptographic Applications Carl Pomerance1 and Igor E. Shparlinski2 1 Department of Fundamental Mathematics, Bell Laboratories Murray Hill, NJ[removed], USA Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2005-03-02 15:21:08 Mathematical analysis Prime-counting function Prime number theorem Prime number Elliptic curve Riemann hypothesis Smooth number Elliott–Halberstam conjecture Algebraic number field Mathematics Analytic number theory Number theory
773	ELEMENTARY THOUGHTS ON DISCRETE LOGARITHMS Carl Pomerance Given a cyclic group G with generator g, and given an element t in G, the discrete logarithm problem is that of computing an integer l with g l = t. The problem o Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2007-04-10 16:50:22 Group theory Logarithms Finite fields Analytic number theory Modular arithmetic Discrete logarithm XTR Index calculus algorithm Cyclic group Abstract algebra Mathematics Algebra
774	Jacobians of Curves of Genus One A thesis presented by Catherine Helen O’Neil to The Department of Mathematics Add to Reading List Source URL: www.wstein.org Language: English Algebraic curves Differential geometry Abelian varieties Analytic number theory Elliptic curve Group theory Curve Projective space Torsion tensor Geometry Abstract algebra Algebraic geometry
775	Introduction: Multiple Dirichlet Series Daniel Bump Dept. of Mathematics, Stanford University, Stanford CA[removed]email: [removed] Summary. This introductory article aims to provide a roadmap to many of Add to Reading List Source URL: sporadic.stanford.edu Language: English - Date: 2012-01-23 14:01:22 Dirichlet series Dirichlet L-function Hecke character Analytic number theory Generating function Johann Peter Gustav Lejeune Dirichlet L-function Series Euler product Mathematics Mathematical analysis Number theory
776	The Fourier-Jacobi Map and Small Representations A thesis presented by Martin Hillel Weissman Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2006-08-31 13:43:13 Complex analysis Analytic number theory Theta function Siegel modular form Representation theory Quadratic form Modular group Fourier series Hecke operator Mathematical analysis Mathematics Modular forms
777	Mathematical routines for the NIST prime elliptic curves April 05, 2010 Contents Add to Reading List Source URL: www.nsa.gov Language: English - Date: 2010-11-08 09:26:06 Analytic number theory Finite fields Modular forms Elliptic curves Modular arithmetic Prime number Lenstra elliptic curve factorization Hessian form of an elliptic curve Abstract algebra Mathematics Group theory
778	Rank statistics for a family of elliptic curves over a function field Carl Pomerance Department of Mathematics, Dartmouth College Hanover, NH[removed], USA [removed] Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2008-03-19 13:19:05 Analytic number theory Integer sequences Prime numbers Group theory Prime-counting function Prime number theorem Elliptic curve Riemann hypothesis Factorial Mathematics Number theory Mathematical analysis
779	Contemporary Mathematics Gauss Sum Combinatorics and Metaplectic Eisenstein Series Ben Brubaker, Daniel Bump, and Solomon Friedberg It is a great pleasure to dedicate this paper to Steve Gelbart, who was one of the Add to Reading List Source URL: sporadic.stanford.edu Language: English - Date: 2011-06-09 18:38:49 Modular form Moduli theory Mathematics Representation theory of Lie groups Representation theory Mathematical analysis Abstract algebra Analytic number theory
780	MODULAR CURVES AND RIGID-ANALYTIC SPACES BRIAN CONRAD 1. Introduction 1.1. Motivation. In the original work of Katz on p-adic modular forms [Kz], a key insight is the use of Lubin’s work on canonical subgroups in 1-par Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2006-01-19 19:29:21 Scheme theory Elliptic curves Algebraic surfaces Analytic number theory Algebraic geometry and analytic geometry Group scheme Abelian variety Curve Supersingular elliptic curve Abstract algebra Algebraic geometry Geometry

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