Analytic number theory

Results: 1184



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361Conjectures / Zeta function / Riemann zeta function / L-function / Riemann hypothesis / Bernhard Riemann / Multiple zeta function / P-adic L-function / Mathematical analysis / Mathematics / Analytic number theory

Workshop   Analytic Number Theory – Distribution and Approximation of Arithmetic Objects Period : October 29 (Wed) – October 31 (Fri), 2014

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Source URL: www.kurims.kyoto-u.ac.jp

Language: English - Date: 2014-10-15 00:54:17
362Analytic number theory / Symbol / Quadratic reciprocity / Elliptic curve / Spectral theory of ordinary differential equations / Μ operator / Abstract algebra / Mathematics / Number theory

SOME FAMILIES OF NON-CONGRUENT NUMBERS FRANZ LEMMERMEYER Abstract. In this article we study the Tate-Shafarevich groups corresponding to 2-isogenies of the curve Ek : y 2 = x(x2 − k2 ) and construct infinitely many exa

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Source URL: www.fen.bilkent.edu.tr

Language: English - Date: 2003-09-11 11:03:50
363Analytic number theory / Number theory / Group theory / Elliptic curve / Modular forms / Finite fields / Birch and Swinnerton-Dyer conjecture / Algebraic number field / Complex multiplication / Abstract algebra / Mathematics / Mathematical analysis

CONGRUENT NUMBERS, ELLIPTIC CURVES, AND MODULAR FORMS GUY HENNIART 1. Invitation to the voyage An integer n ≥ 1 is called congruent if it is the area of a right triangle

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Source URL: www.fen.bilkent.edu.tr

Language: English - Date: 2003-09-11 11:03:29
364Conic sections / Number theory / Algebraic curves / Analytic number theory / Curves / Elliptic curve / Birch and Swinnerton-Dyer conjecture / Degenerate conic / Modular form / Geometry / Algebraic geometry / Abstract algebra

CONICS - A POOR MAN’S ELLIPTIC CURVES FRANZ LEMMERMEYER Contents Introduction 1. The Group Law on Pell Conics and Elliptic Curves

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Source URL: www.fen.bilkent.edu.tr

Language: English - Date: 2003-11-17 18:14:51
365Group theory / Analytic number theory / Deduction / Differential geometry / Modular forms / Elliptic curve / Entailment / Covering space / Differential geometry of curves / Abstract algebra / Mathematics / Topology

A Weil Descent Attack against Elliptic Curve Cryptosystems over Quartic Extension Fields Seigo Arita∗ Kazuto Matsuo∗†

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Source URL: eprint.iacr.org

Language: English - Date: 2004-09-16 01:27:33
366Algebraic curves / Riemann surfaces / Analytic number theory / Abelian varieties / Algebraic structures / Modular form / Divisor / Schottky problem / Abelian integral / Abstract algebra / Algebraic geometry / Mathematical analysis

BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY Volume 6, Number 2, March 1982 PROBLEMS ON ABELIAN FUNCTIONS AT THE TIME OF POINCARÉ AND SOME AT PRESENT1

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Source URL: www.ams.org

Language: English - Date: 2010-01-14 12:42:58
367Algebraic number theory / Modular arithmetic / Field theory / Analytic number theory / Elliptic curve / Quadratic reciprocity / Infinite descent / Algebraic number field / P-adic number / Mathematics / Abstract algebra / Number theory

A Note on P´epin’s counter examples to the Hasse principle for curves of genus 1 Franz Lemmermeyer Bilkent University[removed]Bilkent, Ankara September 11, 2003

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Source URL: www.fen.bilkent.edu.tr

Language: English - Date: 2003-09-11 11:04:04
368Epistemology / Non-classical logic / Philosophical logic / Critical thinking / Argumentation theory / Probabilistic logic / Defeasible reasoning / Analytic philosophy / Truth / Logic / Philosophy / Science

Volume 3, Number 8 August 2009 www.thereasoner.org ISSN[removed]and preparing my first interview for our gazette. Before I introduce my interlocutor, though, let me submit

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Source URL: www.kent.ac.uk

Language: English - Date: 2009-07-27 10:53:44
369Analytic number theory / Elliptic curve / Group theory / Torsion subgroup / Torsion tensor / Torsion / Analytic torsion / Lenstra elliptic curve factorization / Abstract algebra / Differential geometry / Curvature

HIGH RANK ELLIPTIC CURVES WITH PRESCRIBED TORSION GROUP OVER QUADRATIC FIELDS JULIÁN AGUIRRE, ANDREJ DUJELLA, MIRELA JUKI‚ BOKUN, AND JUAN CARLOS PERAL There are 26 possibilities for the torsion group of elliptic curve

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Source URL: bib.irb.hr

Language: English - Date: 2014-07-23 10:58:32
370Mathematics / Triangle geometry / Proofs involving the Moore–Penrose pseudoinverse / Pythagorean theorem / Analytic number theory / Elliptic curve / Group theory

On the torsion group of elliptic curves induced by D(4)-triples Andrej Dujella and Miljen Miki´c Abstract A D(4)-m-tuple is a set of m integers such that the product of

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Source URL: bib.irb.hr

Language: English - Date: 2013-10-08 15:27:22
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