## New Weighted Partition Identities, the Smallest Part of Partition and all that 3

#### When/Where:

October 6, 2016, 3:00 — 3:50 pm at LIT 368.

#### Abstract:

I explain how to use the Jackson transformation to prove new partition theorem. This theorem involves over-partitions counted with the weight \( (-1)^{1+ \#(\pi) + s(\pi)}\) and \(\#\) representation of \(|\pi|\) as a sum of two squares. Here \(s(\pi) :=\) the smallest part of partition \(\pi\).

If time permits, I will discuss some new results for partitions with distinct even parts.

If time permits, I will discuss some new results for partitions with distinct even parts.

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