Analytic number theory

Results: 1184



#Item
731Analytic number theory / Group theory / Modular forms / Complex analysis / Valuation / Symbol / Congruence subgroup / Branch point / Orbifold / Abstract algebra / Mathematical analysis / Mathematics

p-adic interpolation of square roots of central values of Hecke L-functions Adriana Sofer Math Department, Princeton University [removed] March 24, 2000

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Source URL: rene.ma.utexas.edu

Language: English - Date: 2006-08-24 12:45:34
732Analytic number theory / Algebraic curves / Elliptic curve / Group theory / Symbol / Abelian variety / Quadratic form / Constructible universe / Classical modular curve / Algebraic geometry / Abstract algebra / Algebra

Descent via Isogeny in Dimension 2 E. V. Flynn, Mathematical Institute, University of Oxford Abstract A technique of descent via 4-isogeny is developed on the Jacobian of a curve of genus 2 of the form: Y 2 = q1 (X)q2 (X

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Source URL: people.maths.ox.ac.uk

Language: English - Date: 2006-07-08 18:57:37
733Algebraic number theory / Analytic number theory / Elliptic curve / Group theory / Kummer surface / Algebraic number field / P-adic number / Prime number / Abstract algebra / Mathematics / Field theory

CANONICAL HEIGHTS ON THE JACOBIANS OF CURVES OF GENUS 2 AND THE INFINITE DESCENT E.V. FLYNN AND N.P. SMART Abstract. We give an algorithm to compute the canonical height on a Jacobian of a curve of genus 2. The computati

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Source URL: people.maths.ox.ac.uk

Language: English - Date: 2006-07-08 18:57:36
734Elliptic curves / Elliptic curve / Elliptic curve cryptography / Constructible universe / Finite fields / Abstract algebra / Analytic number theory / Group theory

Finding Rational Points on Bielliptic Genus 2 Curves E. Victor Flynn*, Mathematical Institute, University of Oxford Joseph L. Wetherell†, Department of Mathematics, University of Southern California Abstract We discuss

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Source URL: people.maths.ox.ac.uk

Language: English - Date: 2006-07-08 18:57:36
735Abelian varieties / Algebraic curves / Elliptic curves / Diophantine geometry / Analytic number theory / Mordell–Weil theorem / Kummer surface / Dual abelian variety / Isogeny / Abstract algebra / Algebraic geometry / Geometry

Solving Diophantine Problems on Curves via Descent on the Jacobian E. V. Flynn, Mathematical Institute, University of Oxford §0. Introduction The theory of Jacobians of curves has largely been developed in a vacuum, wit

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Source URL: people.maths.ox.ac.uk

Language: English - Date: 2006-07-08 18:57:37
736Elliptic curves / Algebraic curves / Analytic number theory / Finite fields / Computational number theory / Magma computer algebra system / Supersingular elliptic curve / Heegner point / Algorithmic Number Theory Symposium / Abstract algebra / Mathematics / Geometry

David R. Kohel School of Mathematics and Statistics University of Sydney, F07 NSW 2006 Australia DOB: 27 February 1966

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

Language: English - Date: 2005-08-23 07:34:54
737Analytic number theory / Elliptic curve / Elliptic curve cryptography / Elliptic curves / Number theory / Abstract algebra / Group theory / Mathematics

Coverings of Curves of Genus 2 E.V. Flynn Mathematical Institute, University of Oxford Oxford OX1 3LB, United Kingdom [removed]

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Source URL: people.maths.ox.ac.uk

Language: English - Date: 2006-07-08 18:57:36
738Analytic number theory / Elliptic curve / Group theory / Jacobian matrix and determinant / Entailment / GEC / Continuous game / Mathematics / Algebra / Logic

A Flexible Method for Applying Chabauty’s Theorem E. V. Flynn, Mathematical Institute, University of Oxford Abstract A strategy is proposed for applying Chabauty’s Theorem to hyperelliptic curves of genus > 1. In the

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Source URL: people.maths.ox.ac.uk

Language: English - Date: 2006-07-08 18:57:36
739Algebraic curves / Diophantine geometry / Algebraic surfaces / Abelian varieties / Analytic number theory / Elliptic curve / Mordell–Weil theorem / Hyperelliptic curve / Canonical bundle / Algebraic geometry / Abstract algebra / Geometry

TOWERS OF 2-COVERS OF HYPERELLIPTIC CURVES NILS BRUIN AND E. VICTOR FLYNN Abstract. In this article, we give a way of constructing an unramified Galoiscover of a hyperelliptic curve. The geometric Galois-group is an elem

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Source URL: people.maths.ox.ac.uk

Language: English - Date: 2006-07-08 18:57:36
740Analytic number theory / Group theory / Elliptic curve / Genus of a multiplicative sequence / Field extension / Polynomials / Galois theory / Inverse Galois problem / Partial fraction / Abstract algebra / Algebra / Mathematics

On Q-Derived Polynomials E.V. Flynn, Mathematical Institute, University of Oxford Abstract It is known that Q-derived univariate polynomials (polynomials defined over Q, with the property that they and all their derivati

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Source URL: people.maths.ox.ac.uk

Language: English - Date: 2006-07-08 18:57:36
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