New inequalities for \(p(n)\) and \(\log p(n)\)

DOI10.1007/s11139-022-00653-6zbMath1527.11076OpenAlexW4306834025MaRDI QIDQ6164978

WenHuan Zeng, Koustav Banerjee, Paule, Peter, Cristian-Silviu Radu

Publication date: 28 July 2023

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-022-00653-6

zbMATH Keywords

log-concavityHardy-Ramanujan-Rademacher formulapartition function asymptotics

Mathematics Subject Classification ID

Combinatorial inequalities (05A20) Elementary theory of partitions (11P81)

Related Items (1)

A unified framework to prove multiplicative inequalities for the partition function

Cites Work

• Unnamed Item
• Log-concavity of the partition function
• The On-Line Encyclopedia of Integer Sequences
• On an elementary proof of some asymptotic formulas in the theory of partitions
• Symbolic summation assists combinatorics
• Finite differences of the logarithm of the partition function
• Higher order Turán inequalities for the partition function

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