Taylor coefficients of false Jacobi forms and ranks of unimodal sequences

Walter Bridges; Kathrin Bringmann

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arXiv · 2208.11942

Taylor coefficients of false Jacobi forms and ranks of unimodal sequences

Walter Bridges·Kathrin Bringmann

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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.

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Walter Bridges, Kathrin Bringmann. 2022-08-25. Taylor coefficients of false Jacobi forms and ranks of unimodal sequences. https://arxiv.org/abs/2208.11942

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