An expansion for the number of partitions of an integer

DOI10.1007/S11139-019-00163-YzbMath1445.11115arXiv1901.07009OpenAlexW2969655298WikidataQ127370209 ScholiaQ127370209MaRDI QIDQ2174293

Arnaud Meyroneinc, Stella Brassesco

Publication date: 21 April 2020

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

Full work available at URL: https://arxiv.org/abs/1901.07009

zbMATH Keywords

asymptotic expansionscentral limit theoreminteger partitionsasymptotic formulaeexpansions in cumulants

Mathematics Subject Classification ID

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

Related Items (1)

Detailed asymptotic expansions for partitions into powers

Cites Work

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• The asymptotic expansion for \(n!\) and the Lagrange inversion formula
• Hardy-Ramanujan's asymptotic formula for partitions and the central limit theorem
• Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms
• A derivation of the Hardy-Ramanujan formula from an arithmetic formula
• Comments on some formulae of Ramanujan

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