The first positive rank and crank moments for overpartitions
Number Theory
2021-02-04 v2 Combinatorics
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.
Keywords
Cite
@article{arxiv.1309.0381,
title = {The first positive rank and crank moments for overpartitions},
author = {George Andrews and Song Heng Chan and Byungchan Kim and Robert Osburn},
journal= {arXiv preprint arXiv:1309.0381},
year = {2021}
}
Comments
14 pages, to appear in Annals of Combinatorics