Combinatorics and Partition theoryAe Ja YeePenn State
April 23,

ABSTRACT


In the study of partition identities, generating functions make it possible for the theory of partitions to interact with $q$series. This leads to the discovery of many interesting properties of partitions. On the other hand, some $q$series identities can be studied and proved by employing partitions. In this talk, I will discuss $q$series identities that can be proved using partitions. In particular, in the latter portion of my talk, I will use partitions to give proofs of Ramanujan's $_1 \psi_1$ summation and the $q$Gauss summation. 
Combinatorics Seminar, Mathematics Department, MIT, sara(atsign)math.mit.edu 

