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arXiv · 2611.00728

Partition statistics and universal mixed mock modular forms

Koustav Banerjee·Kathrin Bringmann
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Abstract

In this note, we construct combinatorial statistics in terms of partitions, overpartitions, and two-color partitions and relate the corresponding generating functions to the universal mock theta functions. Our framework primarily builds on two $q$-series identities of Fine.

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Koustav Banerjee, Kathrin Bringmann. 2026-10-31. Partition statistics and universal mixed mock modular forms. https://arxiv.org/abs/2611.00728

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