Up-down coefficients for permutations

DOI10.4171/EM/229zbMath1308.05007OpenAlexW2068572740MaRDI QIDQ376532

Vladimir Shevelev, Juergen Spilker

Publication date: 5 November 2013

Published in: Elemente der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/em/229

zbMATH Keywords

permutationNiven's signatureup-down coefficient of a permutation

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Permutations, words, matrices (05A05)

Related Items (1)

Ballot permutations and odd order permutations

Cites Work

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• Permutations ayant une forme donnée
• Alternating permutations and symmetric functions
• On arithmetic and asymptotic properties of up-down numbers
• Enumerating pairs of permutations with the same up-down form
• Bernoulli-Euler updown numbers associated with function singularities, their combinatorics and arithmetics
• Enumeration of permutations with prescribed up-down and inversion sequences
• The number of permutations with a given signature, and the expectations of their elements
• Periodic de Bruijn triangles: exact and asymptotic results
• Number of Permutations with Prescribed Up-Down Structure as a Function of Two Variables
• Permutations with Prescribed Pattern. II. Applications

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