# Alexander Berkovich

## 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.

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