Speaker: 
Kagan Kursungöz, Sabancı University, Istanbul, Turkey 
Title: 
A unified method to prove RogersRamanujan generalizations 
Date: 
09.01. 2013 14:0015:30 
Location: 
RISC Seminar room 
Abstract: 
The first of the famous RogersRamanujan identities states that the number of partitions of a positive integer n into distinct nonconsecutive 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 RogersRamanujanGordon 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 apply the method in some results involving overpartitions. 
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