Series: Mathematics Colloquium

Date: Thursday, February 6, 2003

Time: 4:30 - 5:30 PM

Place: 102 McAllister Building

Host: George Andrews

Refreshments: 4:00 - 4:30 PM, in 212 McAllister

Speaker: Alexander Berkovich, University of Florida

Title: Partition Identities from Euler to Goellnitz and Beyond

Abstract:

I start this talk by reviewing the Euler as well as Rogers-Ramanujan
partition theorems.  Next, I will give a unified treatment of the
Schur and Goellnitz partition theorems using a method of colored
integers.  Finally, I will discuss a recent four-parameter
generalization of Goellnitz partition theorem due to Alladi, Andrews,
Berkovich.