Elliptic tales curves, counting, and number theory

Elliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics--the Birch and Swinnerton-Dyer Conjecture. The Clay Mathematics Institute is offering a prize of

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Bibliographic Details
Main Authors:	Ash, Avner, Gross, Robert
Format:	eBook Book
Language:	English
Published:	Princeton Princeton University Press 2012
Edition:	1
Subjects:	Abelian group Abstract Addition Additive group Algebra Algebraic Algebraic closure Algebraic curve Algebraic equation Algebraic geometry Analytic continuation Analytic function Birch and Swinnerton-Dyer conjecture Calculation Calculus Coefficient Complex multiplication Complex number Complex plane Computation Conjecture Cubic function Curves, Elliptic Derivative Dirichlet series Elliptic curve Elliptic functions Equation Euler product Exponential function Factorization Finite field Finitely generated abelian group Functional equation Geometry History & Philosophy Identity element Infinite product Integer Line at infinity Line–line intersection Logarithm Mathematician MATHEMATICS MATHEMATICS / Algebra / Abstract MATHEMATICS / Calculus MATHEMATICS / Geometry / Algebraic MATHEMATICS / History & Philosophy MATHEMATICS / Number Theory Modular form Monomial Multiplicative group Natural number Number Theory Originality Parabola Parametric equation Parametrization PBF PBH PBKA PBMW PBX PDZ Point at infinity Polynomial Power series Prime number Princeton University Press Projective line Projective plane Pure mathematics Rational number Rational point Real number Riemann hypothesis Riemann zeta function Science Scientific notation Series (mathematics) Simultaneous equations Solution set Summation Tangent Taylor series The Modern World (novel) Theorem Torsion subgroup Variable (mathematics) Polynomial Parametrization Originality Series (mathematics) Rational number Cubic function Projective line Projective plane Rational point Complex multiplication Line–line intersection Calculation Infinite product Algebraic curve Complex plane Finite field Addition Real number Analytic continuation Conjecture Functional equation Line at infinity Parabola Computation Identity element Derivative Euler product Riemann hypothesis Summation Prime number Natural number Finitely generated abelian group Abelian group Point at infinity Science Mathematics Power series Torsion subgroup Exponential function Pure mathematics Multiplicative group Logarithm Solution set Riemann zeta function Monomial Theorem Coefficient Birch and Swinnerton-Dyer conjecture The Modern World (novel) Equation Taylor series Tangent Analytic function Elliptic curve Mathematician Factorization Additive group Complex number Variable (mathematics) Integer Simultaneous equations Princeton University Press Algebraic equation Dirichlet series Scientific notation Modular form Algebraic closure Number theory Algebraic geometry Parametric equation
ISBN:	0691163502, 9780691163505, 0691151199, 9780691151199, 9781400841714, 1400841712
Online Access:	Get full text
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Description
Summary:	Elliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics--the Birch and Swinnerton-Dyer Conjecture. The Clay Mathematics Institute is offering a prize of
Bibliography:	Includes bibliography (p. [249]-250) and index
ISBN:	0691163502 9780691163505 0691151199 9780691151199 9781400841714 1400841712
DOI:	10.1515/9781400841714