Atul Dixit

Affiliation: Tulane University

Email: adixit@tulane.edu

Title Of Talk: Generalized higher order spt-functions

Abstract: We give a new generalization of the spt-function of G.E.~Andrews, namely $\textup{Spt}_j(n)$, and give its combinatorial interpretation in terms of successive lower-Durfee squares. We then generalize the higher order spt-function $\textup{spt}_k(n)$, due to F.G.~Garvan, to ${}_j\textup{spt}_{k}(n)$, thus providing a two-fold generalization of $\textup{spt}(n)$, and give its combinatorial interpretation. This is joint work with Ae Ja Yee.

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