Asymtotics for Moments of Higher Ranks

Published 13 May 2012 in math.NT | (1205.2904v1)

Abstract: Bringmann, Mahlburg, and Rhoades have found asymptotic expressions for all moments of the partition statistics rank and crank. In this work we extend their methods to higher ranks. The $T$-rank, introduced by Garvan, for odd integers T=3 is a natural generalization of the rank (T=3) and crank (T=1).

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Matthias Waldherr

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