Euler Type Generalization of Wilson's Theorem

Details Euler Type Generalization of Wilson's Theorem Euler Type Generalization of Wilson's Theorem

2006-05-28

arxiv.org/abs/math/0605705v1

Mathematics

Number Theory

a short research note with 2 pages

Scientific paper

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

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