On congruence conjectures of Andrews and Bachraoui
Number Theory
2026-04-03 v1 Combinatorics
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.
Cite
@article{arxiv.2604.02239,
title = {On congruence conjectures of Andrews and Bachraoui},
author = {Koustav Banerjee and Kathrin Bringmann and Mohamed El Bachraoui},
journal= {arXiv preprint arXiv:2604.02239},
year = {2026}
}