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arXiv · 2510.25104

The combinatorics of some two-color partition identities

Yong-Chao Shen
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Abstract

Recently, Andrews and EI Bachraoui obtained several iden tities on two-colored partitions. While solving open problems they posed, Chen and Zhou derived a number of identities using analytic methods and asked for combinatorial proofs. In this note, we provide the requested combinatorial proofs. Additionally, we derive several new identities and provide combinatorial proofs for them.

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Yong-Chao Shen. 2025-10-30. The combinatorics of some two-color partition identities. https://arxiv.org/abs/2510.25104

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