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arXiv · 1205.2904

Asymtotics for Moments of Higher Ranks

Matthias Waldherr
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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. 2012-05-13. Asymtotics for Moments of Higher Ranks. https://arxiv.org/abs/1205.2904

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