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Abstract analytic number theory
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#	Item
501	Constructive and Destructive Facets of Weil Descent on Elliptic Curves Nigel Smart, Florian Hess, Pierrick Gaudry Add to Reading List Source URL: www.hpl.hp.com Language: English - Date: 2000-01-25 14:42:53 Algebraic curves Finite fields Analytic number theory Cryptography Algebraic surfaces Elliptic curve Hyperelliptic curve Curve Abelian variety Abstract algebra Algebraic geometry Geometry
502	A Survey of the Hodge-Arakelov Theory of Elliptic Curves I Shinichi Mochizuki Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2011-11-02 13:41:36 Analytic number theory Moduli theory Algebraic surfaces Diophantine geometry Elliptic curve Abelian variety Modular form Arakelov theory Moduli space Abstract algebra Algebraic geometry Geometry
503	HILBERT’S TENTH PROBLEM AND MAZUR’S CONJECTURE FOR LARGE SUBRINGS OF Q BJORN POONEN Add to Reading List Source URL: www-math.mit.edu Language: English - Date: 2008-07-06 19:05:57 Field theory Diophantine equations Analytic number theory Algebraic number theory Prime number Diophantine set Elliptic curve P-adic number Diophantine approximation Mathematics Abstract algebra Number theory
504	p-adic Properites of Elliptic Divisibility Sequences Joseph H. Silverman Add to Reading List Source URL: www.math.brown.edu Language: English - Date: 2007-07-09 15:18:24 Integer sequences Number theory Elliptic functions Analytic number theory Algebraic curves Elliptic divisibility sequence Elliptic curve Division polynomials Divisibility sequence Mathematics Mathematical analysis Abstract algebra
505	forum.qxp[removed]:05 PM Page[removed]Forum Add to Reading List Source URL: www.ams.org Language: English - Date: 1999-03-08 15:14:29 Modular forms Algebraic curves Diophantine geometry Analytic number theory Riemann surfaces Modularity theorem Weil conjecture André Weil Elliptic curve Mathematics Abstract algebra Algebraic geometry
506	The Hodge-Arakelov Theory of Elliptic Curves: Global Discretization of Local Hodge Theories by Shinichi Mochizuki Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2011-11-07 07:21:58 Analytic number theory Elliptic functions Algebraic surfaces Elliptic curve Group theory Algebraic curves Abelian variety Hodge theory Group scheme Abstract algebra Algebraic geometry Mathematical analysis
507	Ren´e Schoof Amsterdam, October 16, 2004 Add to Reading List Source URL: www.mat.uniroma2.it Language: English - Date: 2004-10-16 16:31:34 Primality tests Finite fields Conjectures Modular arithmetic Analytic number theory Miller–Rabin primality test Generalized Riemann hypothesis Prime number Root of unity Mathematics Abstract algebra Number theory
508	ICAMMP[removed]January 2005 SUST, Sylhet, Bangladesh Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2005-02-22 08:18:16 Algebraic curves Analytic number theory Elliptic curve Group theory Finite fields Curve Cubic plane curve Cubic function Birch and Swinnerton-Dyer conjecture Mathematics Abstract algebra Algebraic geometry
509	[removed]O-minimality and the Andr´ Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2010-11-24 07:56:08 Algebraic curves Analytic number theory Diophantine geometry Algebraic surfaces Elliptic curve Abelian variety Algebraic group Shimura variety Arithmetic of abelian varieties Abstract algebra Algebraic geometry Geometry
510	Explicit√Computations of Hilbert Modular Forms on Q( 5) Lassina Dembélé Add to Reading List Source URL: www.emis.de Language: English - Date: 2005-12-29 10:24:02 Analytic number theory Automorphic forms Modular forms Hecke operator Shimura variety Langlands program Cuspidal representation Hilbert modular form Elliptic curve Abstract algebra Mathematical analysis Mathematics

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