SMS scnews item created by Andrew Mathas at Thu 24 Oct 2013 1351
Type: Seminar
Distribution: World
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
Auth: mathas@114.88.broadband5.iol.cz in SMS-auth

AGR Seminar

Generalizations of Wilson’s Theorem for Double-, Hyper-, Sub- and Super-factorials

Dr Grant Cairns (La Trobe University)

Host venue
La Trobe University

Abstract

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.

Seminar convenor
Dr Yury Nikolayevsky

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If you would like to attend this seminar in our access grid room then please check to see if the grid is already booked at this time and send an email to accessgridroom@maths.usyd.edu.au to let the CSOs know that you would like to attend.


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