New inequalities for p(n) and [Formula: see text]

Let p(n) denote the number of partitions of n. A new infinite family of inequalities for p(n) is presented. This generalizes a result by William Chen et al. From this infinite family, another infinite family of inequalities for [Formula: see text] is derived. As an application of the latter family o...

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Autores principales: Banerjee, Koustav, Paule, Peter, Radu, Cristian-Silviu, Zeng, WenHuan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10335990/
https://www.ncbi.nlm.nih.gov/pubmed/37449293
http://dx.doi.org/10.1007/s11139-022-00653-6
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author Banerjee, Koustav
Paule, Peter
Radu, Cristian-Silviu
Zeng, WenHuan
author_facet Banerjee, Koustav
Paule, Peter
Radu, Cristian-Silviu
Zeng, WenHuan
author_sort Banerjee, Koustav
collection PubMed
description Let p(n) denote the number of partitions of n. A new infinite family of inequalities for p(n) is presented. This generalizes a result by William Chen et al. From this infinite family, another infinite family of inequalities for [Formula: see text] is derived. As an application of the latter family one, for instance obtains that for [Formula: see text] , [Formula: see text]
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spelling pubmed-103359902023-07-13 New inequalities for p(n) and [Formula: see text] Banerjee, Koustav Paule, Peter Radu, Cristian-Silviu Zeng, WenHuan Ramanujan J Article Let p(n) denote the number of partitions of n. A new infinite family of inequalities for p(n) is presented. This generalizes a result by William Chen et al. From this infinite family, another infinite family of inequalities for [Formula: see text] is derived. As an application of the latter family one, for instance obtains that for [Formula: see text] , [Formula: see text] Springer US 2022-10-19 2023 /pmc/articles/PMC10335990/ /pubmed/37449293 http://dx.doi.org/10.1007/s11139-022-00653-6 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Banerjee, Koustav
Paule, Peter
Radu, Cristian-Silviu
Zeng, WenHuan
New inequalities for p(n) and [Formula: see text]
title New inequalities for p(n) and [Formula: see text]
title_full New inequalities for p(n) and [Formula: see text]
title_fullStr New inequalities for p(n) and [Formula: see text]
title_full_unstemmed New inequalities for p(n) and [Formula: see text]
title_short New inequalities for p(n) and [Formula: see text]
title_sort new inequalities for p(n) and [formula: see text]
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10335990/
https://www.ncbi.nlm.nih.gov/pubmed/37449293
http://dx.doi.org/10.1007/s11139-022-00653-6
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