The first positive rank and crank moments for overpartitions
arXiv:1309.0381 · doi:10.1007/s00026-016-0306-0
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.
14 pages, to appear in Annals of Combinatorics