Generalized rank deviations for overpartitions
Number Theory
2025-11-21 v1 Combinatorics
Abstract
We prove formulas for generalized rank deviations for overpartitions. These formulas are in terms of Appell-Lerch series and sums of quotients of theta functions and extend work of Lovejoy and the second author. As an application, we compute a dissection.
Cite
@article{arxiv.2511.16396,
title = {Generalized rank deviations for overpartitions},
author = {Kevin Allen and Robert Osburn and Matthias Storzer},
journal= {arXiv preprint arXiv:2511.16396},
year = {2025}
}
Comments
19 pages