A formula for the number of partitions of \(n\) in terms of the partial Bell polynomials

DOI10.1007/s11139-020-00380-wzbMath1483.05008arXiv2006.01627OpenAlexW3129051392MaRDI QIDQ2075085

Sumit Kumar Jha

Publication date: 11 February 2022

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

Full work available at URL: https://arxiv.org/abs/2006.01627

zbMATH Keywords

integer partitionsFaà di Bruno's formulapartial Bell polynomialspentagonal numbersRamanujan's tau function

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items (2)

Unnamed Item ⋮ De Moivre and Bell polynomials

Cites Work

• Unnamed Item
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• New identities for the partial Bell polynomials
• Congruence properties of functions related to the partition function
• Explorations in the Theory of Partition Zeta Functions

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