On Andrews’ Partitions with Parts Separated by Parity

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.

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Autores principales:	Abdulaziz M. Alanazi, Darlison Nyirenda
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	partitions parity generating functions bijection Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/10e59012c8b64adfab60b0d599e146c8
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spelling	oai:doaj.org-article:10e59012c8b64adfab60b0d599e146c82021-11-11T18:15:31ZOn Andrews’ Partitions with Parts Separated by Parity10.3390/math92126932227-7390https://doaj.org/article/10e59012c8b64adfab60b0d599e146c82021-10-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2693https://doaj.org/toc/2227-7390In 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.Abdulaziz M. AlanaziDarlison NyirendaMDPI AGarticlepartitionsparitygenerating functionsbijectionMathematicsQA1-939ENMathematics, Vol 9, Iss 2693, p 2693 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	partitions parity generating functions bijection Mathematics QA1-939
spellingShingle	partitions parity generating functions bijection Mathematics QA1-939 Abdulaziz M. Alanazi Darlison Nyirenda On Andrews’ Partitions with Parts Separated by Parity
description	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.
format	article
author	Abdulaziz M. Alanazi Darlison Nyirenda
author_facet	Abdulaziz M. Alanazi Darlison Nyirenda
author_sort	Abdulaziz M. Alanazi
title	On Andrews’ Partitions with Parts Separated by Parity
title_short	On Andrews’ Partitions with Parts Separated by Parity
title_full	On Andrews’ Partitions with Parts Separated by Parity
title_fullStr	On Andrews’ Partitions with Parts Separated by Parity
title_full_unstemmed	On Andrews’ Partitions with Parts Separated by Parity
title_sort	on andrews’ partitions with parts separated by parity
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/10e59012c8b64adfab60b0d599e146c8
work_keys_str_mv	AT abdulazizmalanazi onandrewspartitionswithpartsseparatedbyparity AT darlisonnyirenda onandrewspartitionswithpartsseparatedbyparity
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On Andrews’ Partitions with Parts Separated by Parity

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