Modular congruences, \(Q\)-curves, and the Diophantine equation \(x^4+y^4=z^p\)

zbMath1168.11010arXivmath/0304425MaRDI QIDQ2501397

Luis V. Dieulefait

Publication date: 6 September 2006

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0304425

zbMATH Keywords

elliptic curvesgeneralized Fermat equationmodular forms, modular congruence

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Holomorphic modular forms of integral weight (11F11) Higher degree equations; Fermat's equation (11D41)

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Determination of Gaussian Integer Zeroes of F(x,z)=2x4−z3

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