The First Positive Rank and Crank Moments for Overpartitions
Chan, Song Heng
Date of Issue2016
School of Physical and Mathematical Sciences
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.
Annals of Combinatorics
© 2016 Springer International Publishing. This is the author created version of a work that has been peer reviewed and accepted for publication by Annals of Combinatorics, Springer International Publishing. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1007/s00026-016-0306-0].