arXiv:math/0304425 Abstract

Published 2003-04-27Version 1

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 $p \neq 7$.

Categories: math.NT, math.AG

Subjects: 11D41, 11F11

Keywords: diophantine equation, modular congruences, generalized fermat equation, first case

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