Solving genus zero Diophantine equations over number fields

DOI10.1016/j.jsc.2010.09.002zbMath1207.11041OpenAlexW2069609185MaRDI QIDQ607162

Paraskevas Alvanos, Dimitrios Poulakis

Publication date: 19 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.jsc.2010.09.002

zbMATH Keywords

rational curvesparameterizationgenus zero Diophantine equations

Mathematics Subject Classification ID

Computer solution of Diophantine equations (11Y50) Exponential Diophantine equations (11D61) Higher degree equations; Fermat's equation (11D41)

Related Items (1)

Markoff-Rosenberger triples in geometric progression

Cites Work

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• Construction and estimation of bases in function fields
• On the solution of units and index form equations in algebraic number fields
• Computing Riemann-Roch spaces in algebraic function fields and related topics.
• Solving genus zero Diophantine equations with at most two infinite valuations
• On the resolution of relative Thue equations
• CHARACTERIZING ALGEBRAIC CURVES WITH INFINITELY MANY INTEGRAL POINTS
• On the practical solution of genus zero Diophantine equations

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