Exact formula for 1-lower run overpartitions
Number Theory
2025-04-03 v2 Combinatorics
Abstract
We are going to show an exact formula for lower -run overpartitions. The generating function is of mixed mock-modular type with an overall weight We will apply an extended version of the classical Circle Method. The approach requires bounding modified Kloosterman sums and Mordell integrals.
Cite
@article{arxiv.2307.10441,
title = {Exact formula for 1-lower run overpartitions},
author = {Lukas Mauth},
journal= {arXiv preprint arXiv:2307.10441},
year = {2025}
}
Comments
20 pages. Fixed many typos. Added additional references