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On Andrews' partitions with parts separated by parity

Published 4 Mar 2018 in math.NT | (1803.01406v2)

Abstract: In this paper, we present a generalization of one of the theorems in [G. E. Andrews, Partitions with parts separated by parity, \textit{Annals of Combinatorics} \textbf{23}(2019), 241 - 248], and give its bijective proof. Further variations of related partition functions are studied resulting in a number of interesting identities.

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