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arXiv · 2604.02239

On congruence conjectures of Andrews and Bachraoui

Koustav Banerjee·Kathrin Bringmann·Mohamed El Bachraoui
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Abstract

Andrews and the third author recently studied congruences for certain restricted two-color partitions. They made two conjectures for Ramanujan-type congruences and a vanishing identity for the limiting sequence. In this paper, we settle these conjectures by relating the corresponding generating function to modular forms and mock theta functions.

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Koustav Banerjee, Kathrin Bringmann, Mohamed El Bachraoui. 2026-04-02. On congruence conjectures of Andrews and Bachraoui. https://arxiv.org/abs/2604.02239

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