Simple error bounds for an asymptotic expansion of the partition function

DOI10.1007/S11139-024-00958-8MaRDI QIDQ6645971

Gergő Nemes

Publication date: 29 November 2024

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

zbMATH Keywords

error boundsasymptotic expansionsinteger partitions

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Asymptotic enumeration (05A16) Analytic theory of partitions (11P82)

Cites Work

• Title not available (Why is that?)
• Asymptotic partition formulae. III. Partitions into \(k\)-th powers
• An expansion for the number of partitions of an integer
• On the series for the partition function.
• Finite differences of the logarithm of the partition function
• On Wallis' formula
• Higher order Turán inequalities for the partition function
• Extensions of the Weierstrass Product Inequalities
• A Convergent Series for the Partition Function p ( n )
• On the Remainders and Convergence of the Series for the Partition Function
• Asymptotic formulae in combinatory analysis.
• Detailed asymptotic expansions for partitions into powers
• New inequalities for \(p(n)\) and \(\log p(n)\)

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