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Solving Elliptic Diophantine Equations Avoiding Thue Equations and Elliptic Logarithms

Name: Solving Elliptic Diophantine Equations Avoiding Thue Equations and Elliptic Logarithms
Creator: de Weger, Benjamin M. M.
Keywords: 11Y50, 11D25, 0101 mathematics, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1998 Netherlands Publisher:Informa UK LimitedJournal:Experimental Mathematics, volume 7, pages 243-256 (issn: 1058-6458, eissn: 1944-950X,

Authors: de Weger, Benjamin M. M.;

doi: 10.1080/10586458.1998.10504371

Solving Elliptic Diophantine Equations Avoiding Thue Equations and Elliptic Logarithms

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Abstract

We determine the solutions in integers of the equation y2 = (x + p)(x2 + p2) for p = 167, 223, 337, 1201. The method used was suggested to us by Yu. Bilu, and is shown to be in some cases more efficient than other general purpose methods for solving such equations, namely the elliptic logarithms method and the use of Thue equations.

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Netherlands

Related Organizations

Technical University Eindhoven
Netherlands

Keywords

11Y50, 11D25

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