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arXiv · 2601.03998

Restricted Overpartitions and concave compositions: their modularity and asymptotics

Koustav Banerjee·Kathrin Bringmann·Atul Dixit
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Abstract

In this paper we study restricted overpartitions and concave compositions. In several cases the resulting generating functions involve simultaneously modular forms, mock theta functions, mock Maass theta functions, and false theta functions, illustrating the appearance of mixed modular structures in restricted partition problems. Moreover, we obtain their asymptotic main terms. We also study related rank statistics.

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Koustav Banerjee, Kathrin Bringmann, Atul Dixit. 2026-01-07. Restricted Overpartitions and concave compositions: their modularity and asymptotics. https://arxiv.org/abs/2601.03998

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