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math.CO2025
Signed counting of partition matrices
Shane Chern, Shishuo Fu
We prove that the signed counting (with respect to the parity of the ``'' statistic) of partition matrices equals the cardinality of a subclass of inversion seq…
math.CO2025
Convolutive sequences, I: Through the lens of integer partition functions
Shane Chern, Dennis Eichhorn, Shishuo Fu +1
Motivated by the convolutive behavior of the counting function for partitions with designated summands in which all parts are odd, we consider coefficient sequences $(a_n)_{n\ge 0}…