Combinatorial proof of identities involving partitions with distinct even parts and 4-regular partitions
Dandan Chen, Ziyin Zou
Published: 2024/10/18
Abstract
Recently Andrews and Bachraoui proved identities relating certain restricted partitions into distinct even parts with restricted 4-regular partitions by the theory of basic hypergeometric series. They also posed a question regarding combinatorial proofs for these results. In this paper, we establish bijections to provide combinatorial proofs for these results.