Abstract:

Overpartitions arise as a way to give combinatorial interpretation of the coefficients of qq-hypergeometric series. We generalize the first and second Frobenius representations of overpartitions into two infinite families, which in turn correspond to generalizations of the Dyson rank and M2M2-rank of overpartitions, the MdMd-ranks. The moments of these new rank functions give rise to mock modular forms, as is the case with the Dyson and M2M2-ranks.

Speaker

Thomas Morrill

Research Area
Affiliation

UNSW Canberra

Date

Wed, 22/08/2018 - 3:00pm

Venue

RC-4082, The Red Centre, UNSW