Sur l'équation a3+ b3= cp

DOI10.1080/10586458.1998.10504355zbMath0923.11054OpenAlexW2576506800MaRDI QIDQ4228033

Alain Kraus

Publication date: 31 October 1999

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/233029

zbMATH Keywords

elliptic curvemodular curvemodular representationhigher degree equationscubic diophantine equationsTaniyama-Weil conjecture

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Cubic and quartic Diophantine equations (11D25) Higher degree equations; Fermat's equation (11D41)

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Uses Software

• PARI/GP

Cites Work

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• Hecke operators on \(\Gamma_0(m)\)
• Galois properties of points of finite order of elliptic curves
• Algorithm for determining the type of a singular fiber in an elliptic pencil
• On the Equations z^m = F (x, y ) and Ax^p + By^q = Cz^r
• On a question of B. Mazur