Quasimodularity of the $k$th Residual Cranks
Number Theory
2020-05-06 v1
Abstract
We establish quasimodularity for a family of residual crank generating functions defined on overpartitions. We also show that the second moments of these th residual cranks admit a combinatoric interpretation as weighted overpartition counts.
Keywords
Cite
@article{arxiv.2005.01919,
title = {Quasimodularity of the $k$th Residual Cranks},
author = {Thomas Morrill and Aleksander Simonič},
journal= {arXiv preprint arXiv:2005.01919},
year = {2020}
}