\(1/k\)-Eulerian polynomials and \(k\)-inversion sequences

zbMath1418.05005MaRDI QIDQ2318783

Jun Ma, Yeong-Nan Yeh, Shi-Mei Ma, Ting-Wei Chao

Publication date: 16 August 2019

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://www.combinatorics.org/ojs/index.php/eljc/article/view/v26i3p35

zbMATH Keywords

permutationsEulerian polynomialsascents\(s\)-inversion sequences

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05)

Related Items

Excedance-type polynomials, gamma-positivity and alternatingly increasing property ⋮ The \(1/k\)-Eulerian polynomials of type \(B\) ⋮ Statistics on trapezoidal words and \(k\)-inversion sequences

Cites Work

• The \({1/k}\)-Eulerian polynomials
• Some statistics on Stirling permutations and Stirling derangements
• The mathematics of lecture hall partitions
• Ehrhart series of lecture hall polytopes and Eulerian polynomials for inversion sequences
• Stirling permutations, cycle structure of permutations and perfect matchings
• Lecture hall partitions. II
• Lecture hall partitions
• A monotonicity property of \(h\)-vectors and \(h^*\)-vectors
• A refinement of the lecture hall theorem
• The \(1 / k\)-Eulerian polynomials and \(k\)-Stirling permutations
• Rational lecture hall polytopes and inflated Eulerian polynomials
• Théorie géométrique des polynômes eulériens
• $s$-Inversion Sequences and $P$-Partitions of Type $B$