Asymptotics of higher order ospt-functions for overpartitions

Abstract

In this paper we obtain asymptotic formulas for the positive crank and rank moments for overpartitions. Moreover, we show that crank and rank moments are asymptotically equal while the difference is asymptotically positive. This indicates that there exist analogous higher ospt-functions for overpartitions, which we define.

arXiv comment11 pages, introduce higher ospt functions