Overpartition Rank Differences Modulo 7 By Maass Forms
Number Theory
2016-01-26 v1
Abstract
Using that the overpartition rank function is the holomorphic part of a harmonic Maass form, we deduce formulas for the rank differences modulo 7. To do so we make improvements on the current state of the overpartition rank function in terms of harmonic Maass forms by giving simple formulas for the transformations under as well as formulas for orders at cusps.
Keywords
Cite
@article{arxiv.1601.06671,
title = {Overpartition Rank Differences Modulo 7 By Maass Forms},
author = {Chris Jennings-Shaffer},
journal= {arXiv preprint arXiv:1601.06671},
year = {2016}
}