Distinct \(r\)-tuples in integer partitions

DOI10.1007/s11139-019-00180-xzbMath1428.05024OpenAlexW2974413198WikidataQ127225542 ScholiaQ127225542MaRDI QIDQ2011345

Arnold Knopfmacher, Aubrey Blecher, Margaret Archibald

Publication date: 6 December 2019

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

Full work available at URL: https://doi.org/10.1007/s11139-019-00180-x

zbMATH Keywords

generating functioninteger partitions\(r\)-tuples

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Asymptotic enumeration (05A16)

Uses Software

• OEIS

Cites Work

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• Limit distributions of smallest gap and largest repeated part in integer partitions
• Analysis of some new partition statistics
• On the distribution of the longest run in number partitions
• Three problems in combinatorial asymptotics
• The number of distinct part sizes in a random integer partition
• On the distribution of multiplicities in integer partitions
• The distribution of the number of summands in the partitions of a positive integer

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