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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Detalles Bibliográficos
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
Descripción
Sumario: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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