Wilson's theorem

Details Wilson's theorem Wilson's theorem

2007-11-25

arxiv.org/abs/0711.3879v1

Journal de Th{\'e}orie des nombres de Bordeaux {\bf 21} (2009) 3, 517--521.

Mathematics

Number Theory

Scientific paper

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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