A Rademacher-type exact formula for partitions without sequences
Number Theory
2023-06-22 v2 Combinatorics
Abstract
In this paper we prove an exact formula for the number of partitions without sequences. By work of Andrews, the corresponding generating function is a product of a modular form and a mock theta function, giving an overall weight of 0. The proof requires evaluating and bounding Kloosterman sums and the Circle Method
Keywords
Cite
@article{arxiv.2304.01377,
title = {A Rademacher-type exact formula for partitions without sequences},
author = {Walter Bridges and Kathrin Bringmann},
journal= {arXiv preprint arXiv:2304.01377},
year = {2023}
}