Further Divisibility Properties of the q-Tangent Numbers

DOI10.2307/2044007zbMath0485.05007OpenAlexW4233152328MaRDI QIDQ3944610

Foata, Dominique

Publication date: 1981

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2044007

zbMATH Keywords

generating functionstangent numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Classical hypergeometric functions, ({}_2F_1) (33C05) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (13)

Positivity and divisibility of enumerators of alternating descents ⋮ Alternating permutations and the \(m\)th descents ⋮ An analogue of Kummer congruences for \(q\)-Euler numbers ⋮ Congruence properties of \(q\)-analogs ⋮ Combinatorics of generalized \(q\)-Euler numbers ⋮ Fonctions symétriques associées à des suites classiques de nombres ⋮ Zeros of generalized Rogers-Ramanujan series: asymptotic and combinatorial properties ⋮ Some arithmetic properties of the \(q\)-Euler numbers and \(q\)-Salié numbers ⋮ A \(q\)-enumeration of alternating permutations ⋮ Factors of the Gaussian coefficients ⋮ The $q$-tangent and $q$-secant numbers via basic Eulerian polynomials ⋮ Quasi-symmetric functions and up-down compositions ⋮ Minimax trees and André polynomials

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