English

A diophantine sum with factorials

Number Theory 2015-10-19 v2

Abstract

We give solutions of a Diophantine equation containing factorials, which can be written as a cubic form, or as a sum of binomial coefficients. We also give some solutions to higher degree forms and relate some solutions to an unsolvable Fermat Last Theorem equation.

Keywords

Cite

@article{arxiv.1510.03056,
  title  = {A diophantine sum with factorials},
  author = {Geoffrey B. Campbell and Aleksander Zujev},
  journal= {arXiv preprint arXiv:1510.03056},
  year   = {2015}
}

Comments

4 pages

R2 v1 2026-06-22T11:17:35.800Z