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...

# Videos

## The Australian Mathematical Science Institute and the IRMACS Centre Present:

A Workshop on Computational and Analytical Mathematics - Video Recordings

Dilcher, Karl

David H. Bailey

Jonathan Borwein's premier contribution to modern mathematics is his uncanny ability to identify and pursue lines of research that (a) are mathematically exciting, (b) involve computation in an essential way, and (c) are widely accessible and appealing to the younger generation (and even to the public at large). His work is the ultimate answer...

Chamberland, Marc

The ability of computer algebra systems to factor has opened the door for the discovery of beautiful identities. This talk looks at four areas of application: generalizing Ramanujan's 6-8-10 formula, polynomial equations which represent theorems of plane geometry, identities obtained by LU decompositions of matrices, and a generalization of...

Corless, Rob, and Kalugin, German

We show that the principal branch of the Lambert *TeX Embedding failed!* function is a Bernstein function. We also show that many functions containing *TeX Embedding failed!*, for example *TeX Embedding failed!*, are Stieltjes functions. The fact that *TeX...*