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1998 Solving elliptic Diophantine equations avoiding Thue equations and elliptic logarithms
Benjamin M. M. de Weger
Experiment. Math. 7(3): 243-256 (1998).

Abstract

We determine the solutions in integers of the equation $ y^2 = ( x + p ) ( x^2 + p^2 ) $ 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.

Citation

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Benjamin M. M. de Weger. "Solving elliptic Diophantine equations avoiding Thue equations and elliptic logarithms." Experiment. Math. 7 (3) 243 - 256, 1998.

Information

Published: 1998
First available in Project Euclid: 14 March 2003

zbMATH: 0921.11076
MathSciNet: MR1676758

Subjects:
Primary: 11Y50
Secondary: 11D25

Rights: Copyright © 1998 A K Peters, Ltd.

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Vol.7 • No. 3 • 1998
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