English

On the generalized Fermat equation over totally real fields

Number Theory 2015-05-25 v1

Abstract

In a recent paper, Freitas and Siksek proved an asypmtotic version of Fermat's Last Theorem for many totally real fields. We prove an extension of their result to generalized Fermat equations of the form Axp+Byp+Czp=0A x^p+B y^p+ C z^p=0, where AA, BB, CC are odd integers belonging to a totally real field.

Keywords

Cite

@article{arxiv.1505.06117,
  title  = {On the generalized Fermat equation over totally real fields},
  author = {Heline Deconinck},
  journal= {arXiv preprint arXiv:1505.06117},
  year   = {2015}
}

Comments

10 pages. arXiv admin note: text overlap with arXiv:1307.3162 by other authors

R2 v1 2026-06-22T09:39:36.574Z