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math.CO2023
A unified treatment of families of partition functions
Lida Ahmadi, Ricardo Gómez Aíza, Mark Daniel Ward
We present a unified framework of combinatorial descriptions, and the analogous asymptotic growth of the coefficients of two general families of functions related to integer partit…
math.CO2012
Partitions with Distinct Multiplicities of Parts: On An "Unsolved Problem" Posed By Herbert Wilf
James Allen Fill, Svante Janson, Mark Daniel Ward
Wilf's Sixth Unsolved Problem asks for any interesting properties of the set of partitions of integers for which the (nonzero) multiplicities of the parts are all different. We ref…