Quasi-Jacobi forms, Appell-Lerch functions, and false theta functions as q-brackets of functions on partitions
Number Theory
2025-04-23 v2 Combinatorics
Abstract
We study certain algebras of theta-like functions on partitions, for which the corresponding generating functions give rise to theta functions, quasi-Jacobi forms, Appell-Lerch sums, and false theta functions.
Keywords
Cite
@article{arxiv.2401.02820,
title = {Quasi-Jacobi forms, Appell-Lerch functions, and false theta functions as q-brackets of functions on partitions},
author = {Kathrin Bringmann and Jan-Willem van Ittersum and Jonas Kaszian},
journal= {arXiv preprint arXiv:2401.02820},
year = {2025}
}
Comments
19 pages, improved exposition and presentation