Affiliation: University of Cologne
Title Of Talk: On spt-crank type functions
Abstract: In a recent paper, Andrews, Dixit, and Yee introduce a new spt-type function $\spt_\omega(n)$, which closely related with Ramanujan's third order mock theta function $\omega(q)$. Garvan and Jennings-Shaffer introduce a crank function which explain congruences for $\spt_\omega(n)$. In this talk, we study asymptotic behavior of this crank function and confirm a positivity conjecture of the crank asymptotically. We also study a sign pattern of the crank and congruences for $\spt_\omega(n)$. This is joint work with Byungchan Kim.
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Last update made Mon Feb 15 11:47:44 PST 2016.