Modular congruences, Q-curves, and the diophantine equation x^4 + y^4 = z^p

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We prove two results concerning the generalized Fermat equation $x^4+y^4=z^p$. In particular we prove that the First Case is true if $p \neq 7$.

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Number Theory, Algebraic Geometry, 11D41; 11F11

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http://salesiana.dossiersoluciones.com/handle/123456789/67266

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0304425
 http://arxiv.org/abs/math/0304425

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arXiv