Alexander Berkovich

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


September 1, 2015, 3:00 — 3:50pm at LIT 368.


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


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


and  discuss combinatorial  explanation  of this result.