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math.CO2024
On the biases and asymptotics of partitions with finite choices of parts
Jiyou Li, Sicheng Zhao
Biases in integer partitions have been studied recently. For three disjoint subsets of positive integers, let be the number of partitions of with parts fro…
math.CO2022
Combinatorial meaning of the number of the even parts in a partition of into distinct parts
Jiyou Li, Sicheng Zhao
In a recent paper, Andrews and Merca investigated the number of even parts in all partitions of into distinct parts, which arise naturally from the Euler-Glaisher bijective pro…