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Inequalities Between Odd Moments of Rank and Crank for Overpartitions

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Abstract

In this paper, we introduce the symmetrized positive rank and crank moments of overpartitions and obtain some inequalities between them. These results enable us to settle a conjecture of Andrews, Chan, Kim, and Osburn on inequalities between ordinary rank and crank moments of overpartitions.

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Authors and Affiliations

  1. Department of Mathematics, Soochow University, SuZhou, 215006, PR China

    Renrong Mao

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  1. Renrong Mao
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Correspondence to Renrong Mao.

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Mao, R. Inequalities Between Odd Moments of Rank and Crank for Overpartitions. Ann. Comb. 21, 645–652 (2017). https://doi.org/10.1007/s00026-017-0367-8

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  • DOI: https://doi.org/10.1007/s00026-017-0367-8

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