Elliptic curve

Results: 1220



#Item
941Algebraic number theory / Cubic field / Algebraic number field / XTR / Discriminant / Discriminant of an algebraic number field / Elliptic curve / Abstract algebra / Algebra / Mathematics

ERROR ESTIMATES FOR THE DAVENPORT–HEILBRONN THEOREMS KARIM BELABAS, MANJUL BHARGAVA, AND CARL POMERANCE Abstract. We obtain the first known power-saving remainder terms for the theorems of Davenport and Heilbronn on th

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2009-07-07 15:32:50
942Cryptography / Group theory / Analytic number theory / Elliptic curve / Number theory / Abstract algebra / Mathematics / Finite fields

ON THE ASYMPTOTIC EFFECTIVENESS OF WEIL DESCENT ATTACKS KORAY KARABINA, ALFRED MENEZES, CARL POMERANCE, AND IGOR E. SHPARLINSKI Abstract. In this paper we investigate the asymptotic effectiveness of the Gaudry-Hess-Smart

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2010-01-26 20:32:00
943Algebraic number theory / Analytic number theory / Elliptic curve / Quadratic form / Algebraic number field / Transcendental number / Algebraic integer / Ideal class group / Prime number / Abstract algebra / Mathematics / Algebra

Contributions to Algebraic Number Theory from India Dipendra Prasad October 19, 2004 There was a conference organised at the Institite of Mathematical Sciences, Madras in 1997 on the occasion of the 50th anniversary of I

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Source URL: www.math.tifr.res.in

Language: English - Date: 2004-10-19 06:36:06
944Algebraic number theory / Group theory / Algebraic groups / Abelian variety / Group scheme / Elliptic curve / Torsion subgroup / Torsion / Semistable abelian variety / Abstract algebra / Algebra / Niels Henrik Abel

HIGHER-LEVEL CANONICAL SUBGROUPS IN ABELIAN VARIETIES BRIAN CONRAD 1. Introduction 1.1. Motivation. Let E be an elliptic curve over a p-adic integer ring R, and assume that E has supersingular reduction. Consider the 2-d

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Source URL: math.stanford.edu

Language: English - Date: 2006-08-06 11:01:44
945Polar coordinate system / Integral calculus / Elliptic integral / Binomial coefficient / Binomial theorem / Tautochrone curve / Vibrations of a circular drum / Mathematics / Mathematical analysis / Curves

15 Higher and Super Calculus of Elliptic Integral 15.1 Double series expansion of Elliptic Integral[removed]Double series expansion of Elliptic Integral of the 1st kind Formula[removed]The following expressions hold for |k

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Source URL: fractional-calculus.com

Language: English - Date: 2013-11-11 01:10:58
946Moduli theory / Scheme theory / Analytic number theory / Algebraic curves / Algebraic stack / Category theory / Elliptic curve / Modular form / Group scheme / Abstract algebra / Algebraic geometry / Geometry

ARITHMETIC MODULI OF GENERALIZED ELLIPTIC CURVES BRIAN CONRAD 1. Introduction 1.1. Motivation. In [DR], Deligne and Rapoport developed the theory of generalized elliptic curves over arbitrary schemes and they proved that

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Source URL: math.stanford.edu

Language: English - Date: 2006-07-17 20:14:44
947Fractals / Conjectures / Riemann hypothesis / Hausdorff dimension / Riemann zeta function / Minkowski content / Smith–Minkowski–Siegel mass formula / Elliptic curve / Mathematical analysis / Mathematics / Analytic number theory

THE RIEMANN ZETA-FUNCTION AND THE ONE-DIMENSIONAL WEYL-BERRY CONJECTURE FOR FRACTAL DRUMS MICHEL L. LAPIDUS and CARL POMERANCE [Received 7 April 1991—Revised 10 December 1991]

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2008-12-16 12:48:26
948Elliptic curve cryptography / Computing / Mathematics / Embedded systems / Sensor node / Elliptic curve / Elliptic Curve DSA / Program optimization / Integrated Encryption Scheme / Finite fields / Wireless sensor network / Cryptography

TinyECC: A Configurable Library for Elliptic Curve Cryptography in Wireless Sensor Networks An Liu, Peng Ning Department of Computer Science North Carolina State University Raleigh, NC 27695

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Source URL: discovery.csc.ncsu.edu

Language: English - Date: 2011-11-09 13:28:30
949Primality tests / Finite fields / Polynomials / Integer factorization algorithms / Field theory / Prime number / Root of unity / Miller–Rabin primality test / Elliptic curve primality testing / Abstract algebra / Mathematics / Algebra

version[removed]Primality testing with Gaussian periods Primality testing with Gaussian periods H. W. Lenstra jr. and Carl Pomerance

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2009-02-25 13:32:39
950Homological algebra / Algebraic groups / Niels Henrik Abel / Scheme theory / Group scheme / Abelian group / Abelian variety / Tate module / Elliptic curve / Abstract algebra / Algebra / Algebraic geometry

Workshop on group schemes and p-divisible groups: Homework[removed]Let A be an abelian variety over a field k with characteristic p > 0 and dimension g > 0. Use the fact that A and A∨ are isogenous to prove that the ´et

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Source URL: math.stanford.edu

Language: English - Date: 2005-05-26 17:43:25
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