English

Solutions in $\mathbb{Z}[i]$ of $A^{5}+B^{5}=C^{5}\pm 1$

History and Overview 2023-02-16 v1

Abstract

We build solutions in Z[i]\mathbb{Z}[i] of A5+B5=C5±1A^{5}+B^{5}=C^{5}\pm 1 based on a method developed by Michael D. Hirschhorn in his article "An Amazing Identity of Ramanujan", from Mathematics Magazine, Vol. 68, No3 (June 1995).

Keywords

Cite

@article{arxiv.2302.07858,
  title  = {Solutions in $\mathbb{Z}[i]$ of $A^{5}+B^{5}=C^{5}\pm 1$},
  author = {Dominique Fosse},
  journal= {arXiv preprint arXiv:2302.07858},
  year   = {2023}
}