On the distribution of the longest run in number partitions

DOI10.1007/S11139-008-9149-6zbMath1177.05016OpenAlexW1982814068MaRDI QIDQ1047805

Stephan G. Wagner

Publication date: 6 January 2010

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

Full work available at URL: https://doi.org/10.1007/s11139-008-9149-6

zbMATH Keywords

distributiontailslargest gaplongest run of equal elementsnumber partitions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Combinatorial probability (60C05) Asymptotic enumeration (05A16) Analytic theory of partitions (11P82)

Related Items (3)

A General Asymptotic Scheme for the Analysis of Partition Statistics ⋮ Integer partitions, probabilities and quantum modular forms ⋮ Distinct \(r\)-tuples in integer partitions

Cites Work

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• On the expansion of the partition functions in a series
• The Distribution of Ascents of Size d or More in Partitions of n
• Asymptotic distribution of the number and size of parts in unequal partitions
• The Structure of Random Partitions of Large Integers
• On the multiplicity of parts in a random partition
• AN ASYMPTOTIC FORMULA IN THE THEORY OF PARTITIONS
• SOME ASYMPTOTIC FORMULAE IN THE THEORY OF PARTITIONS (II)
• Limit theorems for the number of summands in integer partitions

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