# Gauss Factorials: Properties and Applications

Speaker:

Dilcher, Karl

Affiliation:

Dalhousie University ### Abstract

Starting with Wilson's theorem and its generalization by Gauss, we define a Gauss factorial *TeX Embedding failed!* to be the product of all positive integers up to *TeX Embedding failed!* and relatively prime to *TeX Embedding failed!*. We present results on the Gauss factorials *TeX Embedding failed!*, and more generally on partial products obtained when the product *TeX Embedding failed!* is divided into *TeX Embedding failed!* equal parts, for integers *TeX Embedding failed!*. Finally, extensions of the Gauss binomial coefficient theorem are presented in terms of Gauss factorials. (Joint work with John B. Cosgrave).

Video:

### Details

Date & Time:

Wednesday, May 18, 2011 - 15:15 - 15:45
Venue/Room:

ASB 10900 - ‹ previous
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