## New Weighted Partition Identities, the Smallest Part of Partition and all that

#### When/Where:

September 22, 2016, 3:00 — 3:50 pm at LIT 368.

#### Abstract:

I explain how to use the q-binomial theorem, the q-Gauss sum, and the transformation of Jackson to discover and prove many new weighted partition identities.These identities involve unrestricted partitions, over-partitions and partitions with distinct even parts. Smallest part of the partitions plays an important role in this analysis.

This talk is based on my joint work with Ali Uncu.