The first positive rank and crank moments for overpartitions

Published 2 Sep 2013 in math.NT and math.CO | (1309.0381v2)

Abstract: In 2003, Atkin and Garvan initiated the study of rank and crank moments for ordinary partitions. These moments satisfy a strict inequality. We prove that a strict inequality also holds for the first rank and crank moments of overpartitions and consider a new combinatorial interpretation in this setting.

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