Abstract analytic number theory

Results: 558



#Item
181Analytic number theory / Elliptic curve / Group theory / Hyperelliptic curve cryptography / Elliptic curve cryptography / Cryptography / Abstract algebra / Elliptic curves

. Variants of the Montgomery form based on Theta functions Pierrick Gaudry [removed]

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Source URL: www.fields.utoronto.ca

Language: English - Date: 2006-11-15 13:29:11
182Analytic number theory / Group theory / Niels Henrik Abel / Elliptic curve / Abelian variety / Modular curve / Torsion / Abstract algebra / Algebraic geometry / Algebraic curves

The rational group structure of modular Jacobians with applications to torsion points on elliptic curves over number fields Maarten Derickx 1 Algant

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Source URL: www.mderickx.nl

Language: English - Date: 2014-06-05 08:39:28
183Algebraic number theory / Analytic number theory / Conjectures / Dirichlet L-function / Functional equation / Quadratic forms / Dirichlet character / Dedekind zeta function / Riemann hypothesis / Mathematical analysis / Abstract algebra / Mathematics

Automorphic forms, L-functions and number theory (March 12–16) Three Introductory lectures E. Kowalski ´ Bordeaux I - A2X, 351, cours de la Libe ´ration, 33405 Talence

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Source URL: www.math.ethz.ch

Language: English - Date: 2008-01-29 08:22:38
184Symbol / Dirichlet character / Functional equation / Dirichlet L-function / Constructible universe / Hecke character / Analytic number theory / Hypergeometric functions / Q-analogs / Mathematical analysis / Mathematics / Abstract algebra

CHAPTER II AUTOMORPHIC REPRESENTATIONS AND L-FUNCTIONS FOR GL(1, AQ ) §2.1

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Source URL: www.maths.nottingham.ac.uk

Language: English - Date: 2011-05-25 03:52:18
185Group theory / Analytic number theory / Number theory / Finite fields / Curve / Birch and Swinnerton-Dyer conjecture / Hessian form of an elliptic curve / Abstract algebra / Mathematics / Elliptic curves

Annales Mathematicae et Informaticae[removed]pp. 145–153 http://ami.ektf.hu The rank of certain subfamilies of the elliptic curve Y 2 = X 3 − X + T 2∗

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Source URL: ami.ektf.hu

Language: English - Date: 2012-12-19 11:45:10
186Analytic number theory / Algebraic number theory / Algebraic curves / Niels Henrik Abel / Group theory / Quaternion algebra / Supersingular elliptic curve / Quaternion / Abelian variety / Abstract algebra / Mathematics / Algebra

FAMILIES OF RAMANUJAN GRAPHS AND QUATERNION ALGEBRAS DENIS X. CHARLES, EYAL Z. GOREN AND KRISTIN E. LAUTER Contents 1. Introduction 2. Quaternion algebras and superspecial points

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Source URL: research.microsoft.com

Language: English - Date: 2007-11-14 22:19:22
187Algebraic curves / Modular forms / Elliptic curve / Group theory / Artin L-function / Algebraic number field / Modular elliptic curve / Number theory / Abelian variety / Abstract algebra / Mathematics / Analytic number theory

RESEARCH SUMMARY Past Research Overview Introduction. For over a hundred years number theory has been motivated by the study of Lseries, as first introduced by P. G. Lejeune Dirichlet [13] in the study of primes in arit

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Source URL: www.math.purdue.edu

Language: English - Date: 2012-07-03 12:04:05
188Number theory / Diophantine geometry / Analytic number theory / Elliptic curves / Modular forms / Birch and Swinnerton-Dyer conjecture / Tate–Shafarevich group / Heegner point / Congruent number / Mathematics / Abstract algebra / Algebraic geometry

William A. Stein – Curriculum Vitae – Oct[removed]0925

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Source URL: interact.sagemath.org

Language: English - Date: 2014-10-21 13:26:03
189Analytic 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

Mathematical routines for the NIST prime elliptic curves April 05, 2010 Contents

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Source URL: www.nsa.gov

Language: English - Date: 2010-11-08 09:26:06
190Analytic number theory / Algebraic curves / Riemann surfaces / Elliptic functions / Modular forms / Elliptic curve / Modular curve / Genus of a multiplicative sequence / Projective space / Mathematical analysis / Geometry / Abstract algebra

The Ramanujan Constant An Essay on Elliptic Curves, Complex Multiplication and Modular Forms B.J.Green

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Source URL: people.maths.ox.ac.uk

Language: English - Date: 2013-08-05 12:58:17
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