English

Fermat-like equations that are not partition regular

Logic 2016-05-25 v1

Abstract

By means of elementary conditions on coefficients, we isolate a large class of Fermat-like Diophantine equations that are not partition regular, the simplest examples being xn+ym=zkx^n+y^m=z^k with k{n,m}k\notin\{n,m\}.

Keywords

Cite

@article{arxiv.1605.07527,
  title  = {Fermat-like equations that are not partition regular},
  author = {Mauro Di Nasso and Maria Riggio},
  journal= {arXiv preprint arXiv:1605.07527},
  year   = {2016}
}
R2 v1 2026-06-22T14:08:27.354Z