Hannah Burson

A study of weighted odd Ferrers diagrams

Odd Ferrers diagrams are an analogue of integer partitions that were first introduced by George Andrews as a combinatorial interpretation of $q w(q) = \sum_{n=0}^{\infty} \frac{q^{n+1}}{(q;q^2)_{n+1}}$. In this talk we explore the generating functions that result from attaching various weights to these diagrams. In the process, we give new combinatorial interpretations of some of Ramanujan's false theta function identities and two second-order mock theta functions.