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Elliptic curve
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621	CONICS - A POOR MAN’S ELLIPTIC CURVES FRANZ LEMMERMEYER Contents Introduction 1. Dramatis Personae: Conics and Elliptic Curves Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2005-05-18 04:50:24 Conic sections Curves Number theory Analytic geometry Analytic number theory Elliptic curve Birch and Swinnerton-Dyer conjecture Néron–Tate height Parabola Geometry Abstract algebra Algebraic geometry
622	MUMFORD-TATE GROUPS AND ABELIAN VARIETIES PETE L. CLARK 1. Introduction These are notes for a lecture in Elham Izadi’s 2006 VIGRE seminar on the Hodge Conjecture. Add to Reading List Source URL: math.uga.edu Language: English - Date: 2006-11-09 20:58:22 Mumford–Tate group Hodge structure Hodge conjecture Abelian variety Abelian group Representation theory Elliptic curve Algebraic group Complex multiplication Abstract algebra Algebra Hodge theory
623	MULTIPLICATIVE ORIENTATIONS OF KO-THEORY AND OF THE SPECTRUM OF TOPOLOGICAL MODULAR FORMS MATTHEW ANDO, MICHAEL J. HOPKINS, AND CHARLES REZK Abstract. We describe the space of E∞ spin orientations of KO and the space o Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2010-05-20 10:57:38 Mathematics Topological modular forms Spectrum Homotopy category Homotopy group Model category Homotopy Elliptic curve Thom space Homotopy theory Topology Abstract algebra
624	The Elliptic Curve Digital Signature Algorithm (ECDSA) Add to Reading List Source URL: cs.ucsb.edu Language: English - Date: 2009-10-15 20:03:40 Field theory Finite fields Public-key cryptography Group theory Elliptic Curve DSA Elliptic curve cryptography Elliptic curve ElGamal signature scheme Discrete logarithm Abstract algebra Cryptography Algebra
625	AN INTRODUCTION TO THE GROSS-ZAGIER FORMULA DICK GROSS (NOTES TAKEN BY YIHANG ZHU) Contents 1. The BSD Conjecture Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2013-10-07 12:17:34 Analytic number theory Number theory Symbol Modular form Artin reciprocity law Elliptic curve Algebraic number field Birch and Swinnerton-Dyer conjecture Gelfand pair Abstract algebra Mathematics Mathematical analysis
626	SOME FAMILIES OF NON-CONGRUENT NUMBERS FRANZ LEMMERMEYER Abstract. In this article we study the Tate-Shafarevich groups corresponding to 2-isogenies of the curve Ek : y 2 = x(x2 − k2 ) and construct infinitely many exa Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:50 Analytic number theory Symbol Quadratic reciprocity Elliptic curve Spectral theory of ordinary differential equations Μ operator Abstract algebra Mathematics Number theory
627	CONGRUENT NUMBERS, ELLIPTIC CURVES, AND MODULAR FORMS GUY HENNIART 1. Invitation to the voyage An integer n ≥ 1 is called congruent if it is the area of a right triangle Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:29 Analytic number theory Number theory Group theory Elliptic curve Modular forms Finite fields Birch and Swinnerton-Dyer conjecture Algebraic number field Complex multiplication Abstract algebra Mathematics Mathematical analysis
628	Picard-Einstein Metrics and Class Fields Connected with Apollonius Cycle R-P. Holzapfel with Appendices by A. Pi~neiro, N. Vladov August 17, 1998 Add to Reading List Source URL: edoc.hu-berlin.de Language: English - Date: 2009-10-31 22:42:04 Projective geometry Elliptic curve Quadric Enriques–Kodaira classification Curve Circle Algebraic curve Kummer surface Lie sphere geometry Geometry Algebraic geometry Algebraic surfaces
629	Visibility of Ideal Classes Ren´e Schoof ∗ Lawrence C. Washington Add to Reading List Source URL: www.mat.uniroma2.it Language: English - Date: 2010-09-17 08:27:56 Field theory Algebraic structures Ideal class group Ideals Elliptic curve Tate–Shafarevich group Algebraic number field Field Discriminant of an algebraic number field Abstract algebra Algebra Algebraic number theory
630	The Weil descent attack Analysis and Limitations of GHS Attack Extended GHS Attack Add to Reading List Source URL: cihangir.forgottenlance.com Language: English - Date: 2011-11-28 12:34:41 Cryptography Algebraic curves Elliptic curve cryptography Elliptic curve Abelian variety Abstract algebra Mathematics Algebra

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