Analytic number theory

Results: 1184



#Item
241Fourier transform / Symbol / Mathematical analysis / Analytic number theory / Kloosterman sum

1 A new class of hyper-bent functions and Kloosterman sums Chunming Tang, Yanfeng Qi

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Source URL: eprint.iacr.org

Language: English - Date: 2013-12-26 22:26:47
242Cryptography / Analytic number theory / Kloosterman sum / Fourier transform / Bent function / Boolean function / Boolean algebra / Mathematical analysis / Mathematics

Noname manuscript No. (will be inserted by the editor) A generalization of the class of hyper-bent Boolean functions in binomial forms Chunming Tang · Yu Lou · Yanfeng

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Source URL: eprint.iacr.org

Language: English - Date: 2012-11-12 09:17:28
243Number 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

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Source URL: eprint.iacr.org

Language: English - Date: 2011-12-08 21:38:03
244Logarithms / 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

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Source URL: www.bmoeller.de

Language: English - Date: 2006-01-02 00:23:24
245Elliptic 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

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Source URL: eprint.iacr.org

Language: English - Date: 2009-01-08 14:48:27
246Elliptic 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 ∗

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Source URL: eprint.iacr.org

Language: English - Date: 2010-12-10 11:14:29
247Prime numbers / Prime gap / Prime-counting function / Riemann hypothesis / Quadratic residue / Brun sieve / Mathematics / Number theory / Analytic number theory

arXiv:1408.4505v1 [math.NT] 20 AugLARGE GAPS BETWEEN CONSECUTIVE PRIME NUMBERS KEVIN FORD, BEN GREEN, SERGEI KONYAGIN, AND TERENCE TAO A BSTRACT. Let G(X) denote the size of the largest gap between consecutive pri

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Source URL: arxiv.org

Language: English - Date: 2014-08-20 20:20:51
248Meromorphic functions / Riemann zeta function / Harmonic oscillator / Viscosity / Zeta function regularization / Mathematical analysis / Analytic number theory / Mathematics

The Riemann Zeta function applied on the glassy systems and neural networks

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Source URL: empslocal.ex.ac.uk

Language: English - Date: 2002-12-10 04:04:16
249Conjectures / Analytic number theory / Scattering theory / Riemann hypothesis / Freeman Dyson / Bernhard Riemann / Inverse / Random matrix / Mathematics / Mathematical analysis / Physics

A Simple Proof of Riemann Hypothesis

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Source URL: empslocal.ex.ac.uk

Language: English - Date: 2008-12-15 04:57:08
250Analytic number theory / Meromorphic functions / Riemann zeta function / Residue theorem / Factorial / Bernoulli polynomials / Bessel function / Summation / Trigonometric functions / Mathematical analysis / Mathematics / Number theory

The Voronoi summation formula Jordan Bell Department of Mathematics, University of Toronto October 27, 2014

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Source URL: individual.utoronto.ca

Language: English - Date: 2014-10-27 15:47:16
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