Divisibility Properties of the q-Tangent Numbers

DOI10.2307/2043127zbMath0401.10020OpenAlexW4230405436MaRDI QIDQ4184919

Ira M. Gessel, George E. Andrews

Publication date: 1978

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

Full work available at URL: https://doi.org/10.2307/2043127

zbMATH Keywords

Divisibility PropertiesTangent Number

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (17)

Positivity and divisibility of enumerators of alternating descents ⋮ Octabasic Laguerre polynomials and permutation statistics ⋮ Alternating permutations and the \(m\)th descents ⋮ Hankel continued fractions and Hankel determinants of the Euler numbers ⋮ Congruences for the q-secant numbers ⋮ Generalized Worpitzky identities with applications to permutation enumeration ⋮ 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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