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Abstract analytic number theory
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321	William A. Stein[removed]Curriculum Vitae – April 2013 · Add to Reading List Source URL: www.williamstein.org Language: English - Date: 2013-04-04 22:09:51 Number 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
322	II. Algebraic Theory of Elliptic Curves In this chapter we sketch the general theory of elliptic curves from an algebraic viewpoint. This material is fairly standard, although some of our proofs may differ from the ones Add to Reading List Source URL: www.math.jussieu.fr Language: English - Date: 2004-09-20 07:25:40 Vector bundles Analytic number theory Elliptic curve Group theory Intersection number Canonical bundle Ample line bundle Combinatory logic Algebraic number field Abstract algebra Algebraic geometry Geometry
323	Journal de Th´eorie des Nombres de Bordeaux[removed]), 663–681 Computing the cardinality of CM elliptic curves using torsion points par Franc Add to Reading List Source URL: almira.math.u-bordeaux.fr Language: English - Date: 2009-01-22 09:21:14 Analytic number theory Polynomials Group theory Algebraic curves Differential geometry Elliptic curve Modular form Jet Resultant Abstract algebra Algebra Mathematics
324	A remark on an article of S. M¨uller Fran¸cois Morain INRIA Saclay–ˆIle-de-France & Laboratoire d’Informatique (CNRS/UMR 7161) ´ Ecole Add to Reading List Source URL: www.lix.polytechnique.fr Language: English - Date: 2009-10-22 07:51:27 Polynomials Analytic number theory Elliptic curve Group theory Discriminant Algebra Abstract algebra Mathematics
325	Advances in the CM method for elliptic curves F. Morain Laboratoire d’Informatique de l’École polytechnique logoX Add to Reading List Source URL: www.lix.polytechnique.fr Language: English - Date: 2009-05-14 14:22:49 Elliptic curve Group theory Prime number Finite fields Primality tests Elliptic curve primality proving Abstract algebra Mathematics Analytic number theory
326	IMPLEMENTING THE ASYMPTOTICALLY FAST VERSION OF THE ELLIPTIC CURVE PRIMALITY PROVING ALGORITHM F. MORAIN Abstract. The elliptic curve primality proving (ECPP) algorithm is one of the current fastest practical algorithms Add to Reading List Source URL: www.lix.polytechnique.fr Language: English - Date: 2005-12-13 09:43:17 Number theory Finite fields Conjectures Analytic number theory Elliptic curves Elliptic curve primality proving AKS primality test Quadratic residue Prime number Abstract algebra Mathematics Primality tests
327	PDF Document Add to Reading List Source URL: www.math.ucsd.edu Language: English - Date: 2008-06-04 08:24:23 Number theory Analytic number theory Algebraic number theory Jacobi sum Euclidean plane geometry Gauss sum Carl Friedrich Gauss Kloosterman sum Exponential sum Mathematics Abstract algebra Cyclotomic fields
328	E.V. Flynn On a Theorem of Coleman 1 Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:37 Analytic number theory Elliptic curve Group theory Symbol Quadratic form Linear temporal logic Classical modular curve Algebra Mathematics Abstract algebra
329	MATH CIRCLE - ELLIPTIC CURVES WEEKS 1 & 2 SAM LICHTENSTEIN 1. What is a curve? We started by considering the idea of a curve. This is just the set of points in the plane which satisfy a polynomial equation. For example, Add to Reading List Source URL: www.themathcircle.org Language: English - Date: 2007-10-20 22:29:22 Algebraic curves Diophantine equations Analytic number theory Elliptic curve Group theory Rational point Rational number Curve Infinite descent Mathematics Geometry Abstract algebra
330	L -invariants and Shimura curves Samit Dasgupta Matthew Greenberg April 8, 2011 Contents Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2011-05-25 17:44:06 Analytic number theory Algebraic number theory Homological algebra Cohomology theories Modular form Weight Group cohomology Hecke operator Double coset Abstract algebra Algebra Group theory

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