Abstract analytic number theory

Results: 558



#Item
91Analytic number theory / Number theory / Elliptic curve / Group theory / Modular form / Birch and Swinnerton-Dyer conjecture / Curve / Algebraic number field / Supersingular elliptic curve / Abstract algebra / Mathematics / Mathematical analysis

A DISCURSUS ON 21 AS A BOUND FOR RANKS OF ELLIPTIC CURVES OVER Q, AND SUNDRY RELATED TOPICS 1. Introduction In the last paragraph of [30, §4], it was mentioned that a “forthcoming paper” of the author and A. Granvil

Add to Reading List

Source URL: magma.maths.usyd.edu.au

Language: English - Date: 2014-11-05 20:47:51
92Algebraic topology / Euler characteristic / Topological graph theory / Analytic number theory / Riemann zeta function / Leonhard Euler / Incidence algebra / Euler system / Mathematics / Mathematical analysis / Abstract algebra

Euler characteristics of square matrices Möbius algebras Euler characteristics of finite categories With applications to p-subgroup categories

Add to Reading List

Source URL: www.math.ku.dk

Language: English - Date: 2012-01-16 05:30:09
93Primality tests / Analytic number theory / Finite fields / Analysis of algorithms / Computational complexity theory / AKS primality test / Prime number / Randomized algorithm / Time complexity / Mathematics / Abstract algebra / Theoretical computer science

PRIMES is in P Manindra Agrawal Neeraj Kayal ∗ Nitin Saxena Department of Computer Science & Engineering

Add to Reading List

Source URL: math.ucr.edu

Language: English - Date: 2006-05-09 13:08:50
94Analytic number theory / Elliptic curve / Group theory / Frobenius endomorphism / Pullback / Spectral theory of ordinary differential equations / Abstract algebra / Algebra / Mathematics

Speeding up the Bilinear Pairings Computation on Curves with Automorphisms.dvi

Add to Reading List

Source URL: eprint.iacr.org

Language: English - Date: 2007-04-13 02:45:23
95Analytic number theory / Algebra / Elliptic curve / Group theory / Hyperelliptic curve / Curry–Howard correspondence / Ordinal number / Hyperelliptic curve cryptography / Imaginary hyperelliptic curve / Abstract algebra / Algebraic curves / Mathematics

ISOMORPHISM CLASSES OF HYPERELLIPTIC CURVES OF GENUS 3 OVER FINITE FIELDS EUNKYUNG JEONG DEPARTMENT OF MATHEMATICS POHANG UNIVERSITY OF SCIENCE AND TECHNOLOGY POHANG, 790–784, KOREA

Add to Reading List

Source URL: eprint.iacr.org

Language: English - Date: 2003-11-30 23:34:48
96Number theory / Modular arithmetic / Analytic number theory / Class field theory / Symbol / Artin reciprocity law / Frobenius endomorphism / Valuation / Modular form / Abstract algebra / Mathematics / Algebraic number theory

A GROSS-ZAGIER FORMULA FOR QUATERNION ALGEBRAS OVER TOTALLY REAL FIELDS EYAL Z. GOREN & KRISTIN E. LAUTER Abstract. We prove a higher dimensional generalization of Gross and Zagier’s theorem on the factorization of dif

Add to Reading List

Source URL: eprint.iacr.org

Language: English - Date: 2011-12-08 21:38:03
97Logarithms / Analytic number theory / Conjectures / Riemann hypothesis / IP / Ideal / Ln / Principal ideal / Mathematics / Abstract algebra / Mathematical analysis

Technical Report No. TI-5/00, 6th JuneCRYPTOGRAPHY BASED ON NUMBER FIELDS WITH LARGE REGULATOR ¨ JOHANNES BUCHMANN, MARKUS MAURER, AND BODO MOLLER

Add to Reading List

Source URL: www.bmoeller.de

Language: English - Date: 2006-01-02 00:23:24
98Elliptic curves / Finite fields / Analytic number theory / Elliptic curve / Group theory / Edwards curve / Inversive geometry / Hessian form of an elliptic curve / Jacobian curve / Abstract algebra / Cryptography / Elliptic curve cryptography

Novel Precomputation Schemes for Elliptic Curve Cryptosystems Patrick Longa, and Catherine Gebotys Department of Electrical and Computer Engineering University of Waterloo, Canada {plonga, cgebotys}@uwaterloo.ca

Add to Reading List

Source URL: eprint.iacr.org

Language: English - Date: 2009-01-08 14:48:27
99Elliptic curves / Algebraic curves / Elliptic curve cryptography / Group theory / Analytic number theory / Division polynomials / Elliptic curve / Hessian form of an elliptic curve / Curve / Abstract algebra / Geometry / Algebraic geometry

Divison Polynomials for Alternate Models of Elliptic Curves Dustin Moody ∗

Add to Reading List

Source URL: eprint.iacr.org

Language: English - Date: 2010-12-10 11:14:29
100Algebra / Algebraic geometry / Analytic number theory / Field theory / Algebraic number theory / Abstract algebra / Mathematics / Conjectures

On the weighted Kneser-Poulsen conjecture ∗ K. Bezdek †(Univ. of Calgary) and R. Connelly ‡(Cornell Univ.)

Add to Reading List

Source URL: www.math.cornell.edu

Language: English - Date: 2009-01-19 15:55:17
UPDATE