Multibasic Eulerian Polynomials

DOI10.2307/2001806zbMath0790.05003OpenAlexW4235128485MaRDI QIDQ3984305

Foata, Dominique, Doron Zeilberger

Publication date: 27 June 1992

Full work available at URL: https://doi.org/10.2307/2001806

zbMATH Keywords

tableauxcyclotomic polynomialspermutation statisticsdescentsmajor indexRobinson-Schensted correspondenceEulerian polynomialssign reversing involutionsbijective proofs

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) (q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68) Permutations, words, matrices (05A05) Combinatorial aspects of representation theory (05E10) Association schemes, strongly regular graphs (05E30) Representations of finite symmetric groups (20C30)

Related Items

A \(q\)-analog of Newton's series, Stirling functions and Eulerian functions ⋮ Basic calculus of signed permutations. I: Length and number of inversions ⋮ Anti-exceedances in permutation groups ⋮ An involution for signed Eulerian numbers ⋮ Ehrhart series of lecture hall polytopes and Eulerian polynomials for inversion sequences

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