Banerjee–Bringmann–Bachraoui's family of congruence conjectures for two-color partition numbers
Let be defined by
Banerjee–Bringmann–Bachraoui's conjecture. For all integers and ,
and
These congruences extend the proposed infinite families of congruences for the limiting two-color partition function. The supplied context does not state that this family has been resolved.
References
Primary source
Junjie Sun and Olivia X. M. Yao, “Proof of a conjecture of Banerjee,Bringmann and Bachraoui on infinite families of congruences”, arXiv:2604.05403 (2026).
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