English

Euler Type Generalization of Wilson's Theorem

Number Theory 2007-05-23 v1 Commutative Algebra

Abstract

In this short note, we introduce an Euler analogue of Wilson's theorem; a1a2...aϕ(n)(1)ϕ(n)+1 (mod n)a_1a_2... a_{\phi(n)}\equiv (-1)^{\phi(n)+1}~({\rm mod}~n) say, where gcd(ai,n)=1{\rm gcd}(a_i,n)=1.

Cite

@article{arxiv.math/0605705,
  title  = {Euler Type Generalization of Wilson's Theorem},
  author = {Mehdi Hassani and Mahmoud Momeni-Pour},
  journal= {arXiv preprint arXiv:math/0605705},
  year   = {2007}
}

Comments

a short research note with 2 pages