Euler–Mahonian Statistics on Ordered Set Partitions

DOI10.1137/060672340zbMath1189.05021OpenAlexW2114771790MaRDI QIDQ3394990

Zeng, Jiang, Anisse Kasraoui, Masao Ishikawa

Publication date: 20 August 2009

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/060672340

zbMATH Keywords

transfer-matrix methodordered partitionsEuler-Mahonian statistics\(q\)-Stirling numbers of the second kind

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Partitions of sets (05A18) (q)-calculus and related topics (05A30)

Related Items (7)

Some polynomials related to Dowling lattices and \(\mathrm{x}\)-Stieltjes moment sequences ⋮ The history of the Gothenburg--Reykjavík--Strathclyde combinatorics group ⋮ Some identities involving \(q\)-Stirling numbers of the second kind in type B ⋮ \(q\)-Stirling numbers in type \(B\) ⋮ \(q\)-Stirling identities revisited ⋮ Euler-Mahonian statistics on ordered set partitions. II. ⋮ An extension of MacMahon's equidistribution theorem to ordered set partitions

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