Kagan Kursungoz

Affiliation: Sabanci University, Istanbul

Email: kursungoz@sabanciuniv.edu

Title Of Talk: Andrews Style Theorems for Regular and Overpartitions

Abstract: The first of the famous Rogers-Ramanujan identities states that the number of partitions of a positive integer n into distinct non-consecutive parts equals the number of partitions of n into parts that are 1 or 4 mod 5. Gordon later extended this theorem for partitions into repeated parts with some limit on the number of occurrences. There have been many generalizations since then. We will describe a unified method of proving Rogers-Ramanujan-Gordon generalizations. Our starting point is Andrews' recent paper "Parity in Partitions" and we will work with larger moduli. As time allows, we will show how to do the same in the context of overpartitions.


Last update made Thu Aug 30 12:01:40 EDT 2012.
Please report problems to: fgarvan@ufl.edu