Taylor coefficients of false Jacobi forms and ranks of unimodal sequences
Number Theory
2023-03-21 v3 Combinatorics
Abstract
We apply the new framework for modularity of false theta functions developed by the second author and Nazaroglu to study the asymptotic behavior of Taylor coefficients of false Jacobi forms. The examples we study generate moments of the rank for unimodal sequences. For two types of unimodal sequences, we prove asymptotic series for the rank moments.
Keywords
Cite
@article{arxiv.2208.11942,
title = {Taylor coefficients of false Jacobi forms and ranks of unimodal sequences},
author = {Walter Bridges and Kathrin Bringmann},
journal= {arXiv preprint arXiv:2208.11942},
year = {2023}
}