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

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

2003-04-27

arxiv.org/abs/math/0304425v1

Mathematics

Number Theory

Scientific paper

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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