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Asymptotics of higher order ospt-functions for overpartitions

Published 3 Feb 2014 in math.NT and math.CO | (1402.0398v3)

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.

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