On \(q\)-analogs of descent and peak polynomials

DOI10.1016/j.ejc.2021.103397zbMath1469.05017arXiv1912.04933OpenAlexW3178636139MaRDI QIDQ2048367

Christian Gaetz, Yibo Gao

Publication date: 5 August 2021

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.04933

zbMATH Keywords

descent polynomials\(q\)-descent polynomials\(q\)-peak polynomialpeak polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30)

Related Items (1)

A generalization of descent polynomials

Cites Work

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• Inductive proofs of \(q\)-log concavity
• Binomial posets, Möbius inversion, and permutation enumeration
• The distribution of descents and length in a Coxeter group
• Descent polynomials
• A formula for enumerating permutations with a fixed pinnacle set
• Descent polynomials, peak polynomials and an involution on permutations
• Unimodal, log-concave and Pólya frequency sequences in combinatorics
• Log Concave Sequences of Symmetric Functions and Analogs of the Jacobi-Trudi Determinants
• Christoffel–Darboux Type Identities for the Independence Polynomial
• Permutations with given peak set

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