On Andrews’ Partitions with Parts Separated by Parity

Abdulaziz M. Alanazi and Darlison Nyirenda
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Abdulaziz M. Alanazi: Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia
Darlison Nyirenda: School of Mathematics, University of the Witwatersrand, Johannesburg 2050, South Africa

Mathematics, 2021, vol. 9, issue 21, 1-9

Abstract: In this paper, we present a generalization of one of the theorems in Partitions with parts separated by parity introduced by George E. Andrews, and give its bijective proof. Further variations of related partition functions are studied resulting in a number of interesting identities.

Keywords: partitions; parity; generating functions; bijection (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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