Multiplicative Partitions

Marc Chamberland, Colin Johnson, Alice Nadeau, Bingxi Wu

Abstract


New formulas for the multiplicative partition function are developed. Besides giving a fast algorithm for generating these partitions, new identities for additive partitions and the Riemann zeta function are also produced.


Keywords


Partitions, Riemann zeta function, sigma function, Gamma function, Selberg formula

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