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Elliptic curve
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51	Fast, twist-secure elliptic curve cryptography from Q-curves Benjamin Smith Team GRACE INRIA Saclay–ˆIle-de-France ´ Add to Reading List Source URL: www.cosic.esat.kuleuven.be - Date: 2013-09-19 10:39:36
52	47 Doc. Math. J. DMV Selmer Groups and Torsion Zero Cycles on the Selfproduct of a Semistable Elliptic Curve Add to Reading List Source URL: documenta.sagemath.org - Date: 2014-07-15 07:15:56
53	On polynomials attached to curves F. Morain Laboratoire d’Informatique de l’École polytechnique logoUW ECOL E Add to Reading List Source URL: www.lix.polytechnique.fr Language: English - Date: 2009-02-22 19:27:27 Mathematical analysis Mathematics Special functions Analytic number theory Elliptic curve Group theory Analytic functions Orthogonal polynomials Barnes G-function
54	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
55	ON A PROPERNESS OF THE HILBERT EIGENVARIETY AT INTEGRAL WEIGHTS: THE CASE OF QUADRATIC RESIDUE FIELDS SHIN HATTORI Abstract. Let p be a rational prime. Let F be a totally real number field such that F is unramified over Add to Reading List Source URL: www2.math.kyushu-u.ac.jp Language: English - Date: 2016-06-23 04:10:37 Algebra Mathematics Abstract algebra Modular forms Field theory Analytic number theory Operator theory Algebraic geometry Eigenform P-adic modular form Elliptic curve Valuation
56	1. Introduction 1.1. Background. L-functions and modular forms underlie much of twentieth century number theory and are connected to the practical applications of number theory in cryptography. The fundamental importance Add to Reading List Source URL: www.williamstein.org Language: English - Date: 2009-02-03 20:12:03 Mathematics Mathematical analysis Number theory Conjectures Analytic number theory Modular forms Riemann surfaces Millennium Prize Problems Riemann hypothesis Elliptic curve Langlands program L-function
57	EMBARGOED FOR RELEASE March 31, 12:01 a.m. ET Bruce Shriver ACMMarie Gentile Add to Reading List Source URL: fellows.acm.org Language: English - Date: 2015-03-30 17:41:07 Cryptography Public-key cryptography Identity-based cryptography Elliptic curve cryptography Dan Boneh ID-based encryption Association for Computing Machinery Pairing-based cryptography Boneh Infosys ID-based cryptography Computer science
58	447 Documenta Math. p-Adic Fourier Theory P. Schneider, J. Teitelbaum Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2001-12-09 18:31:39 Mathematics Algebra Mathematical analysis Field theory Algebraic geometry Valuation Fourier transform Distribution Analytic function Elliptic curve
59	A generalisation of Miller’s algorithm and applications to pairing computations on abelian varieties David Lubicz1,2 , Damien Robert3 1 Add to Reading List Source URL: www.normalesup.org Language: English - Date: 2014-06-09 16:46:59 Mathematical analysis Abstract algebra Mathematics Elliptic functions Riemann surfaces Group theory Theta function Elliptic curve Divisor Algebraic number field ZQ
60	2015-ohp-english+pictures.pdf Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2015-04-25 11:54:36 Abstract algebra Algebra Mathematics Number theory Algebraic geometry Elliptic curves Group theory Hodge theory Inter-universal Teichmller theory HodgeArakelov theory Shinichi Mochizuki Tate curve