Abstract analytic number theory

Results: 558



#Item
361Diophantine geometry / Elliptic curves / Abelian varieties / Analytic number theory / Group theory / Mordell–Weil theorem / Rational point / Barry Mazur / Prime number / Abstract algebra / Mathematics / Number theory

ARITHMETIC STATISTICS: ELLIPTIC CURVES AND OTHER THINGS BARRY MAZUR Notes for the Erd¨os Memorial Lecture, held at Temple University, October 12, 2013

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Source URL: www.math.harvard.edu

Language: English - Date: 2013-11-03 13:39:15
362Conjectures / Riemann zeta function / Riemann hypothesis / Riemann sum / Bernhard Riemann / Continued fraction / Pi / Gauss–Kuzmin–Wirsing operator / Riemann Xi function / Mathematical analysis / Mathematics / Analytic number theory

Yet Another Riemann Hypothesis Linas Vepstas 12 October 2004; revised 31 December 2010 Abstract This short note presents a peculiar generalization of the Riemann hypothesis, as the action of the

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Source URL: www.linas.org

Language: English - Date: 2011-01-01 00:00:22
363Number theory / Diophantine geometry / Elliptic curves / Analytic number theory / Abelian varieties / Tate–Shafarevich group / Birch and Swinnerton-Dyer conjecture / Heegner point / Peter Swinnerton-Dyer / Mathematics / Abstract algebra / Algebraic geometry

William A. Stein[removed]Curriculum Vitae – April 2013 ·

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Source URL: sage.math.washington.edu

Language: English - Date: 2013-04-04 22:09:51
364Number theory / Diophantine geometry / Elliptic curves / Analytic number theory / Abelian varieties / Tate–Shafarevich group / Birch and Swinnerton-Dyer conjecture / Heegner point / Peter Swinnerton-Dyer / Mathematics / Abstract algebra / Algebraic geometry

William A. Stein[removed]Curriculum Vitae – April 2013 ·

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Source URL: wstein.org

Language: English - Date: 2013-04-04 22:09:51
365Number theory / Algebraic number theory / Analytic number theory / Field theory / Hecke operator / P-adic number / Cusp form / Algebraic number field / Eisenstein series / Abstract algebra / Mathematics / Modular forms

A brief introduction to the work of Haruzo Hida Barry Mazur August 11, 2012 Abstract I want to thank the organizers for scheduling this hour as an introduction to the work of

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Source URL: www.math.harvard.edu

Language: English - Date: 2012-08-11 12:00:46
366Analytic number theory / Mathematical series / Complex dynamics / Calculus / Mandelbrot set / Series / Modular form / Summation / Elliptic curve / Mathematical analysis / Mathematics / Fractals

The Mandelbrot Set as a Modular Form Linas Vepstas 2 January 2005 (revised 30 May 2005) Abstract An exploration of the interior or the Mandelbrot Set and the appearance of functions appearing to be simi

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Source URL: www.linas.org

Language: English - Date: 2005-05-30 01:09:59
367Elliptic curves / Algebraic curves / Analytic number theory / Group theory / Diophantine geometry / Modular curve / Canonical bundle / Torsion tensor / Mordell–Weil theorem / Abstract algebra / Geometry / Mathematics

Some comments on elliptic curves over general number fields and Brill-Noether modular varieties B. Mazur November 3, 2013 Very rough notes for a lecture to be given October 5, 2013 at the Quebec/Maine Number Theory

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Source URL: www.math.harvard.edu

Language: English - Date: 2013-11-03 12:11:28
368Group theory / Logarithms / Finite fields / Analytic number theory / Modular arithmetic / Discrete logarithm / XTR / Index calculus algorithm / Cyclic group / Abstract algebra / Mathematics / Algebra

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

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2007-04-10 16:50:22
369Algebraic curves / Differential geometry / Abelian varieties / Analytic number theory / Elliptic curve / Group theory / Curve / Projective space / Torsion tensor / Geometry / Abstract algebra / Algebraic geometry

Jacobians of Curves of Genus One A thesis presented by Catherine Helen O’Neil to The Department of Mathematics

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Source URL: www.wstein.org

Language: English
370Analytic 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
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