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arXiv · 1912.05722

Inequalities for the $d$th Residual Crank Moments of Overpartitions

Ali H. Al-Saedi·Thomas Morrill·Holly Swisher
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Abstract

Two analogues of the crank function are defined for overpartitions -- the first residual crank and the second residual crank. This suggests an exploration of crank functions defined for overpartitions whose parts are divisible by an arbitrary $d$. We examine the positive moments of these crank functions while varying $d$ and prove some inequalities.

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BibTeXRIS

Ali H. Al-Saedi, Thomas Morrill, Holly Swisher. 2019-12-12. Inequalities for the $d$th Residual Crank Moments of Overpartitions. https://arxiv.org/abs/1912.05722

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