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arXiv · 0711.3879

Wilson's theorem

Chandan Singh Dalawat
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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.

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Chandan Singh Dalawat. 2007-11-25. Wilson's theorem. https://arxiv.org/abs/0711.3879

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