SMS scnews item created by Andrew Mathas at Thu 24 Oct 2013 1351
Expiry: 1 Nov 2013
Calendar1: 1 Nov 2013 1400-1500
CalLoc1: AGR Seminar
CalTitle1: AGR Seminar: Generalizations of Wilson’s Theorem for Double-, Hyper-, Sub- and Super-factorials
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Generalizations of Wilson’s Theorem for Double-, Hyper-, Sub- and Super-factorials
Dr Grant Cairns (La Trobe University)
La Trobe University
Wilson's theorem, which has been known for many centuries, is a basic fact about prime numbers: it says that p is prime if and only if (p-1)!+1 is divisible by p. These days there are four standard generalizations of the factorial function: the double factorial, the hyperfactorial, the subfactorial and the superfactorial. In this talk we recall the definitions of these exotic factorial functions, and we present generalizations of Wilson's theorem for them. This talk should be accessible to undergraduate students. It is joint work with Christian Aebi (College Calvin, Geneva, Switzerland), and has been accepted for publication in the Amer. Math. Monthly.
Dr Yury Nikolayevsky
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