Abstract analytic number theory

Results: 558



#Item
341Elliptic 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
342Analytic 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
343Analytic 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
344Algebraic 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
345Analytic 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
346Analytic number theory / Group theory / Algebraic curves / Algebraic number theory / Elliptic curve / Shimura variety / Abelian variety / Algebraic number field / Quaternion algebra / Abstract algebra / Algebra / Field theory

ON FINITENESS CONJECTURES FOR ENDOMORPHISM ALGEBRAS OF ABELIAN SURFACES ´ NILS BRUIN, E. VICTOR FLYNN, JOSEP GONZALEZ, AND VICTOR ROTGER

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

Language: English - Date: 2006-08-09 23:07:39
347Analytic number theory / Group theory / Elliptic curves / Algebraic number field / Birch and Swinnerton-Dyer conjecture / Classical modular curve / Golden ratio base / Abstract algebra / Mathematics / Number theory

DESCENT VIA ISOGENY ON ELLIPTIC CURVES WITH LARGE RATIONAL TORSION SUBGROUPS E.V. FLYNN AND C. GRATTONI Abstract. We outline PARI programs which assist with various algorithms related to descent via isogeny on elliptic c

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

Language: English - Date: 2009-08-31 00:19:19
348Analytic number theory / Modular forms / Riemann surfaces / Algebraic number theory / Group theory / Symbol / Elliptic curve / Valuation / Kronecker limit formula / Abstract algebra / Mathematics / Algebra

Annals of Mathematics, [removed]), 301–346 Elliptic units for real quadratic fields By Henri Darmon and Samit Dasgupta Contents

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Source URL: people.ucsc.edu

Language: English - Date: 2008-09-13 15:56:54
349Symbol / Analytic number theory / Elliptic curve / Group theory

An Explicit Theory of Heights E. V. Flynn, Mathematical Institute, University of Oxford Abstract We consider the problem of explicitly determining the naive height constants for Jacobians of hyperelliptic curves. For gen

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

Language: English - Date: 2006-07-08 18:57:37
350Elliptic curve cryptography / Elliptic curves / Analytic number theory / Algebraic curves / Elliptic curve / Group theory / Curve / Rational point / Rational function / Abstract algebra / Geometry / Algebraic geometry

Covering Collections and a Challenge Problem of Serre E. Victor Flynn*, Mathematical Institute, University of Oxford Joseph L. Wetherell†, Department of Mathematics, University of Southern California Abstract We answer

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

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