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math.CO2025
Combinatorial Proofs for Overpartitions and Two-Colored Partitions II
Dandan Chen, Jiahao Liu
Andrews and El Bachraoui recently studied various two-colored integer partitions, including those related to two-colored partitions into distinct parts with constraints and overpar…
math.CO2025
Combinatorial proofs for partitions with repeated smallest part
Dandan Chen, Rong Chen, Mengjie Zhao
Recently, Andrews and El Bachraoui considered the number of integer partitions whose smallest part is repeated exactly times and the remaining parts are not repeated. They pres…
math.CO2024
Combinatorial proof of identities involving partitions with distinct even parts and 4-regular partitions
Dandan Chen, Ziyin Zou
Recently Andrews and Bachraoui proved identities relating certain restricted partitions into distinct even parts with restricted 4-regular partitions by the theory of basic hyperge…