English

Remarks on an interpolation between Wilson's theorem and Giuga's conjecture

Number Theory 2020-03-20 v3

Abstract

A family of congruences interpolating between those of Wilson and Giuga is constructed. Several elementary results are established, in order to present a possible approach to establishing Giuga's conjecture.

Keywords

Cite

@article{arxiv.1911.09492,
  title  = {Remarks on an interpolation between Wilson's theorem and Giuga's conjecture},
  author = {Thomas Sauvaget},
  journal= {arXiv preprint arXiv:1911.09492},
  year   = {2020}
}

Comments

Section 3 reformulated in terms of unsigned Stirling numbers of the first kind

R2 v1 2026-06-23T12:23:24.942Z