A unified framework to prove multiplicative inequalities for the partition function

DOI10.1016/j.aam.2023.102590zbMath1525.05008OpenAlexW4385387784MaRDI QIDQ6080361

Koustav Banerjee

Publication date: 30 October 2023

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2023.102590

zbMATH Keywords

partition functionfinite differencelog-concavitypartition inequalitiesHardy-Ramanujan-Rademacher formula

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Combinatorial inequalities (05A20) Asymptotic enumeration (05A16) Analytic theory of partitions (11P82)

Cites Work

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• Maximal multiplicative properties of partitions
• Log-concavity of the partition function
• Sur les entiers n pour lesquels il y à beaucoup de groupes abéliens d'ordre \(n\)
• A general method for proving the non-trivial linear homogeneous partition inequalities
• On the expansion of the partition functions in a series
• Finite differences of the logarithm of the partition function
• Differences of the partition function
• Higher order Turán inequalities for the partition function
• New inequalities for \(p(n)\) and \(\log p(n)\)

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