Limit distributions of smallest gap and largest repeated part in integer partitions

DOI10.1007/s11139-010-9264-zzbMath1227.05060OpenAlexW2116548030MaRDI QIDQ543568

Stephan G. Wagner

Publication date: 17 June 2011

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

Full work available at URL: https://doi.org/10.1007/s11139-010-9264-z

zbMATH Keywords

partitiondistributionlocal limit theoremfirst gaplargest repeated part

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Combinatorial probability (60C05) Analytic theory of partitions (11P82)

Related Items (4)

The limiting distribution of the hook length of a randomly chosen cell in a random Young diagram ⋮ Integer partitions, probabilities and quantum modular forms ⋮ Bisected theta series, least \(r\)-gaps in partitions, and polygonal numbers ⋮ Distinct \(r\)-tuples in integer partitions

Cites Work

• Unnamed Item
• Unnamed Item
• Analysis of some new partition statistics
• Logarithmic combinatorial structures: A probabilistic approach
• On the maximal multiplicity of parts in a random integer partition
• The distribution of the number of summands in the partitions of a positive integer
• Asymptotische Aussagen über Partitionen
• On the expansion of the partition functions in a series
• A century of complex Tauberian theory
• Asymptotic distribution of the number and size of parts in unequal partitions
• The Structure of Random Partitions of Large Integers
• 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

This page was built for publication: Limit distributions of smallest gap and largest repeated part in integer partitions