Alexander Berkovich

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


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


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.