On the practical solution of genus zero Diophantine equations

DOI10.1006/jsco.2000.0420zbMath0985.11051OpenAlexW1998559239MaRDI QIDQ5926300

Voskos, Evaggelos, Dimitrios Poulakis

Publication date: 23 May 2002

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jsco.2000.0420

zbMATH Keywords

genus zero Diophantine equationpower integral basesprojective curvequartic relative extensionsThue equations

Mathematics Subject Classification ID

Thue-Mahler equations (11D59) Other number fields (11R21) Computer solution of Diophantine equations (11Y50)

Related Items (9)

Affine curves with infinitely many integral points ⋮ Solving genus zero Diophantine equations over number fields ⋮ Rational Bézier curves with infinitely many integral points ⋮ Markoff-Rosenberger triples in geometric progression ⋮ Rational Hausdorff divisors: a new approach to the approximate parametrization of curves ⋮ On the simplest sextic fields and related Thue equations ⋮ On the Simplest Quartic Fields and Related Thue Equations ⋮ A public key cryptosystem based on Diophantine equations of degree increasing type ⋮ Solving genus zero Diophantine equations with at most two infinite valuations

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