Turning the Partition Crank

DOI10.1080/00029890.2020.1755584zbMath1452.11128OpenAlexW3045746536MaRDI QIDQ3304751

James A. Sellers, Brian Hopkins

Publication date: 3 August 2020

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2020.1755584

zbMATH Keywords

crank of ordinary partitionsmallest missing part of a partition

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (10)

Combinatorial perspectives on the Crank and mex partition statistics ⋮ More on Schmidt's partition theorem ⋮ Two partition inequalities related to the minimal excludant ⋮ Partition identities related to the minimal excludant ⋮ A refinement of a result of Andrews and Newman on the sum of minimal excludants ⋮ The minimal excludant and Schmidt's partition theorem ⋮ On Blecher and Knopfmacher's fixed points for integer partitions ⋮ A bijective proof of a generalization of the non-negative crank-odd mex identity ⋮ Dyson's crank and the mex of integer partitions ⋮ On the number of equivalence classes arising from partition involutions. II

Cites Work

• Unnamed Item
• Concave compositions
• The work of George Andrews: a Madison perspective.
• On partitions classified by smallest missing part
• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
• Dyson’s crank of a partition

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