Abstract
In this paper we obtain asymptotic formulas for 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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The author’s research is supported by the DFG-Graduiertenkolleg 1269 “Globale Strukturen in Geometrie und Analysis”. This paper is part of the author’s PhD-thesis, written under the supervision of Prof. Dr. K. Bringmann at the university of Cologne.
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Zapata Rolon, J.M. Asymptotics of Higher Order Ospt-Functions for Overpartitions. Ann. Comb. 20, 177–191 (2016). https://doi.org/10.1007/s00026-015-0296-3
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DOI: https://doi.org/10.1007/s00026-015-0296-3