On some partitions with conditions on even/odd indexed odd parts

When/Where:

August 25, 2015, 3:00 — 3:50pm at LIT 368.

Abstract:

I discuss my recent joint work with Ali Uncu.

In particular, I will show that generating function for

partitions into parts \(\leq 2L\) with BG-rank \(=k\) is given by

 

\(\displaystyle\frac{1}{ (q^2;q^2)_{L-k}(q^2;q^2)_{L+k}}\)