Abstract analytic number theory

Results: 558



#Item
371Modular form / Moduli theory / Mathematics / Representation theory of Lie groups / Representation theory / Mathematical analysis / Abstract algebra / Analytic number theory

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

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Source URL: sporadic.stanford.edu

Language: English - Date: 2011-06-09 18:38:49
372Scheme 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

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

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Source URL: math.stanford.edu

Language: English - Date: 2006-01-19 19:29:21
373Modular forms / Analytic number theory / Mathematical series / Representation theory of Lie groups / Joseph Fourier / Eisenstein series / Lattice / Representation theory / Fourier series / Abstract algebra / Algebra / Mathematics

Eisenstein Series, Crystals and Ice Benjamin Brubaker, Daniel Bump, and Solomon Friedberg∗ July 31, 2011 1

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Source URL: sporadic.stanford.edu

Language: English - Date: 2011-08-01 10:42:02
374Cryptography / Group theory / Analytic number theory / Elliptic curve / Number theory / Abstract algebra / Mathematics / Finite fields

ON THE ASYMPTOTIC EFFECTIVENESS OF WEIL DESCENT ATTACKS KORAY KARABINA, ALFRED MENEZES, CARL POMERANCE, AND IGOR E. SHPARLINSKI Abstract. In this paper we investigate the asymptotic effectiveness of the Gaudry-Hess-Smart

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2010-01-26 20:32:00
375Algebraic number theory / Analytic number theory / Elliptic curve / Quadratic form / Algebraic number field / Transcendental number / Algebraic integer / Ideal class group / Prime number / Abstract algebra / Mathematics / Algebra

Contributions to Algebraic Number Theory from India Dipendra Prasad October 19, 2004 There was a conference organised at the Institite of Mathematical Sciences, Madras in 1997 on the occasion of the 50th anniversary of I

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Source URL: www.math.tifr.res.in

Language: English - Date: 2004-10-19 06:36:06
376Number theory / Semigroup / Natural density / Special classes of semigroups / Regular semigroup / Schnirelmann density / Series / Abstract analytic number theory / Inverse semigroup / Mathematics / Semigroup theory / Algebraic structures

Uniform Distribution Theory[removed]), no.2, 67–80 uniform distribution theory

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2009-03-04 09:08:03
377Moduli theory / Scheme theory / Analytic number theory / Algebraic curves / Algebraic stack / Category theory / Elliptic curve / Modular form / Group scheme / Abstract algebra / Algebraic geometry / Geometry

ARITHMETIC MODULI OF GENERALIZED ELLIPTIC CURVES BRIAN CONRAD 1. Introduction 1.1. Motivation. In [DR], Deligne and Rapoport developed the theory of generalized elliptic curves over arbitrary schemes and they proved that

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Source URL: math.stanford.edu

Language: English - Date: 2006-07-17 20:14:44
378Representation theory / Lie algebras / Algebraic geometry / Analytic number theory / Demazure module / Schubert variety / Weyl group / Root system / Bruhat decomposition / Abstract algebra / Algebra / Lie groups

Schubert Eisenstein Series Daniel Bump∗ YoungJu Choie† Abstract. We define Schubert Eisenstein series as sums like usual Eisenstein

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Source URL: sporadic.stanford.edu

Language: English - Date: 2013-09-10 14:19:08
379Hypotheses / Riemann hypothesis / Fourier series / Dirichlet character / Dirichlet L-function / Character sum / Mathematics / Analytic number theory / Conjectures

Remarks on the P´ olya–Vinogradov inequality Carl Pomerance Dedicated to Mel Nathanson on his 65th birthday Abstract: We establish a numerically explicit version of the P´ olya–

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2010-07-29 15:08:21
380Algebraic curves / Polynomials / Analytic number theory / Algebraic surfaces / Elliptic curve / Abelian variety / Lenstra elliptic curve factorization / Field / Intersection number / Abstract algebra / Algebra / Niels Henrik Abel

A HYPERELLIPTIC SMOOTHNESS TEST, II H. W. LENSTRA Jr, J. PILA and CARL POMERANCE [Received 28 June[removed]Contents 1.

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2005-03-02 15:21:08
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