Wilson's theorem
Number Theory
2013-01-09 v1 History and Overview
Abstract
We show that there are four possibilities for the product of all elements in the multiplicative group of a quotient of the ring of integers in a number field, and give precise conditions for each of the possibilities to occur. This generalisation of Wilson's theorem turns out to have been first discovered by M. La\v{s}\v{s}\'ak (2000), but our proof is simpler and more direct.
Cite
@article{arxiv.0711.3879,
title = {Wilson's theorem},
author = {Chandan Singh Dalawat},
journal= {arXiv preprint arXiv:0711.3879},
year = {2013}
}