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Elliptic curve
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#	Item
931	Some comments on elliptic curves over general number fields and Brill-Noether modular varieties B. Mazur November 3, 2013 Very rough notes for a lecture to be given October 5, 2013 at the Quebec/Maine Number Theory Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2013-11-03 12:11:28 Elliptic curves Algebraic curves Analytic number theory Group theory Diophantine geometry Modular curve Canonical bundle Torsion tensor Mordell–Weil theorem Abstract algebra Geometry Mathematics
932	Smooth Orders and Cryptographic Applications Carl Pomerance1 and Igor E. Shparlinski2 1 Department of Fundamental Mathematics, Bell Laboratories Murray Hill, NJ[removed], USA Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2005-03-02 15:21:08 Mathematical analysis Prime-counting function Prime number theorem Prime number Elliptic curve Riemann hypothesis Smooth number Elliott–Halberstam conjecture Algebraic number field Mathematics Analytic number theory Number theory
933	Jacobians of Curves of Genus One A thesis presented by Catherine Helen O’Neil to The Department of Mathematics Add to Reading List Source URL: www.wstein.org Language: English Algebraic curves Differential geometry Abelian varieties Analytic number theory Elliptic curve Group theory Curve Projective space Torsion tensor Geometry Abstract algebra Algebraic geometry
934	GROSS-ZAGIER REVISITED BRIAN CONRAD Contents 1. Introduction 2. Some properties of abelian schemes and modular curves Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2004-08-10 16:48:34 Elliptic curves Algebraic topology Field theory Abelian variety Group scheme Formal group Rational point Supersingular elliptic curve Frobenius endomorphism Abstract algebra Algebraic number theory Algebraic groups
935	pomerance.qxp[removed]:16 AM Page[removed]A Tale of Two Sieves Carl Pomerance (This paper is dedicated to the memory of my friend and Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2005-03-02 15:21:07 Numbers Quadratic sieve General number field sieve Lenstra elliptic curve factorization Prime number Integer factorization Factorization Sieve of Eratosthenes Factor base Integer factorization algorithms Mathematics Number theory
936	Mathematical routines for the NIST prime elliptic curves April 05, 2010 Contents Add to Reading List Source URL: www.nsa.gov Language: English - Date: 2010-11-08 09:26:06 Analytic number theory Finite fields Modular forms Elliptic curves Modular arithmetic Prime number Lenstra elliptic curve factorization Hessian form of an elliptic curve Abstract algebra Mathematics Group theory
937	Suite B Implementer’s Guide to FIPS[removed]ECDSA) February 3, [removed] Add to Reading List Source URL: www.nsa.gov Language: English - Date: 2010-03-11 10:51:46 Elliptic Curve DSA Elliptic curve cryptography NSA Suite B Cryptography Digital signature Digital Signature Algorithm Key Elliptic curve Implicit certificate CRYPTREC Cryptography Public-key cryptography Key management
938	Rank statistics for a family of elliptic curves over a function field Carl Pomerance Department of Mathematics, Dartmouth College Hanover, NH[removed], USA [removed] Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2008-03-19 13:19:05 Analytic number theory Integer sequences Prime numbers Group theory Prime-counting function Prime number theorem Elliptic curve Riemann hypothesis Factorial Mathematics Number theory Mathematical analysis
939	MODULAR CURVES AND RIGID-ANALYTIC SPACES BRIAN CONRAD 1. Introduction 1.1. Motivation. In the original work of Katz on p-adic modular forms [Kz], a key insight is the use of Lubin’s work on canonical subgroups in 1-par Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2006-01-19 19:29:21 Scheme theory Elliptic curves Algebraic surfaces Analytic number theory Algebraic geometry and analytic geometry Group scheme Abelian variety Curve Supersingular elliptic curve Abstract algebra Algebraic geometry Geometry
940	Serial No. _______________ Effective Date: ___________ Elliptic Curve Cryptography Patent License Agreement Between Add to Reading List Source URL: www.nsa.gov Language: English - Date: 2009-01-15 13:07:34 Law Research In Motion S&P/TSX 60 Index Term of patent Patent Economy of Canada Elliptic curve cryptography Reexamination Civil law Patent law United States patent law Intellectual property law

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