# Separable Integer Partition (SIP) Classes

## Combinatorics/Partitions Seminar

## Meeting Details

For more information about this meeting, contact Kristin Berrigan, George Andrews, Ae Ja Yee, Matthew Katz.

**Speaker:** George Andrews, Penn State University Math Dept

**Abstract:** Three of the most classical and well-known identities in the theory of partitions concern: (1) the generating function for p(n) (Euler); (2) the generating function for partitions into distinct parts (Euler), and (3) the generating function for partitions in which parts differ by at least 2 (Rogers-Ramanujan). The lovely, simple argument used to produce these results is mostly never seen again. Actually, there is a very general theorem here which we shall present. We then apply it to prove two familiar theorems; (1) Goellnitz-Gordon, and (2) Schur 1926. We close with an example where the series representation for the partitions in question is new.

## Room Reservation Information

**Room Number:** 106 McAllister

**Date:** 09/10/2019

**Time:** 11:15am - 12:05pm