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Birch and Swinnerton-Dyer conjecture
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1	Introduction The present work grew out of an entirely unsuccessful attempt to answer some basic questions about elliptic curves over $. Start with an elliptic curve E over $, say given by a Weierstrass equation E: y2 = 4 Add to Reading List Source URL: web.math.princeton.edu Language: English - Date: 2001-03-31 11:30:21 Mathematics Analytic number theory Number theory Mathematical analysis Elliptic curves Conjectures Diophantine geometry Millennium Prize Problems Birch and Swinnerton-Dyer conjecture Rank of an elliptic curve Modular form Riemann hypothesis
2	3 Documenta Math. Foreword Andrew Wiles Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2006-11-24 14:31:38 Mathematics Abstract algebra Algebra Diophantine geometry Fellows of the Royal Society Number theorists Number theory Abelian varieties Birch and Swinnerton-Dyer conjecture Andrew Wiles John H. Coates Elliptic curve
3	Twisted L-Functions and Monodromy Nicholas M. Katz Contents Introduction Add to Reading List Source URL: web.math.princeton.edu Language: English - Date: 2001-11-05 12:32:04 Mathematics Abstract algebra Algebra Elliptic curves Analytic number theory Diophantine geometry Number theory Elliptic curve cryptography Elliptic curve Birch and Swinnerton-Dyer conjecture Rank of an elliptic curve Twists of curves
4	Canad. J. Math. Vol), 2005 pp. 328–337 On a Conjecture of Birch and Swinnerton-Dyer Wentang Kuo and M. Ram Murty Abstract. Let E/Q be an elliptic curve defined by the equation y 2 = x3 + ax + b. For a prime p, Add to Reading List Source URL: www.mast.queensu.ca Language: English - Date: 2016-03-21 17:34:11 Conjectures Analytic number theory Millennium Prize Problems Number theory Elliptic curve Group theory Birch and Swinnerton-Dyer conjecture Riemann hypothesis Abc conjecture Chain rule for Kolmogorov complexity
5	587 Documenta Math. Visibility of Mordell-Weil Groups William A. Stein1 Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2008-02-04 02:32:17 Diophantine geometry Conjectures Abelian varieties Number theory Niels Henrik Abel Elliptic curve Tate conjecture Birch and Swinnerton-Dyer conjecture MordellWeil theorem TateShafarevich group Abelian group Conductor
6	587 Documenta Math. Visibility of Mordell-Weil Groups William A. Stein1 Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2008-02-04 02:32:17 Diophantine geometry Conjectures Abelian varieties Number theory Niels Henrik Abel Elliptic curve Tate conjecture Birch and Swinnerton-Dyer conjecture MordellWeil theorem TateShafarevich group Abelian group Conductor
7	Canad. J. Math. Vol), 2005 pp. 328–337 On a Conjecture of Birch and Swinnerton-Dyer Wentang Kuo and M. Ram Murty Abstract. Let E/Q be an elliptic curve defined by the equation y 2 = x3 + ax + b. For a prime p, Add to Reading List Source URL: www.mast.queensu.ca Language: English - Date: 2006-04-20 18:02:14 Conjectures Analytic number theory Millennium Prize Problems Number theory Elliptic curve Group theory Birch and Swinnerton-Dyer conjecture Riemann hypothesis Abc conjecture Chain rule for Kolmogorov complexity
8	´R ˇ AND THE A NOTE ON A QUESTION OF J. NEKOVA BIRCH AND SWINNERTON-DYER CONJECTURE Ken Ono Add to Reading List Source URL: www.mathcs.emory.edu Language: English - Date: 2010-08-24 14:06:47
9	N U ME R I C A L R E L A TED o F Add to Reading List Source URL: people.mpim-bonn.mpg.de Language: English Mathematics Algebra Abstract algebra Commutative algebra Analytic number theory Elliptic curve Group theory Birch and Swinnerton-Dyer conjecture Curve Complex multiplication Integral element Supersingular elliptic curve
10	Congruent Numbers Kent E. Morrison Here are the first 10 congruent numbers along with the side lengths of the associated right triangles. n 5 Add to Reading List Source URL: www.aimath.org Language: English - Date: 2013-12-11 12:33:34 Elliptic curves Number theory Triangle geometry Group theory Analytic number theory Congruent number Birch and Swinnerton-Dyer conjecture Heegner point Prime number Shape Heegner Bryan John Birch