English

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

Number Theory 2007-05-23 v1 Algebraic Geometry

Abstract

We prove two results concerning the generalized Fermat equation x4+y4=zpx^4+y^4=z^p. In particular we prove that the First Case is true if p7p \neq 7.

Keywords

Cite

@article{arxiv.math/0304425,
  title  = {Modular congruences, Q-curves, and the diophantine equation x^4 + y^4 = z^p},
  author = {Luis Dieulefait},
  journal= {arXiv preprint arXiv:math/0304425},
  year   = {2007}
}