An analogue of Kummer congruences for \(q\)-Euler numbers
type: Item
instance of: scholarly article
title: An analogue of Kummer congruences for \(q\)-Euler numbers
zbMATH Open document ID: 0485.05006
DOI: 10.1016/S0195-6698(82)80005-X
published in: European Journal of Combinatorics
publication date: 1982-01-01T00:00:00Z
review text: Es werden \(q\)-Euler-Polynome \(E_{n,n}(q)\) studiert, wobei \(E_{n,n}(1)=E_{n+n}\) die üblichen Euler-Zahlen sind. Das Hauptresultat stellt ein \(q\)-Analogon der Kummerschen Kongruenzen für Euler-Zahlen dar. Ausserdem wird eine kombinatorische Interpretation der \(E_{n,n}(q)\) gegeben.
Mathematics Subject Classification ID: 11B68
Mathematics Subject Classification ID: 05A15
zbMATH DE Number: 3762062
zbMATH Keywords: \(q\)-analogue of Kummer congruences
zbMATH Keywords: \(q\)-Euler numbers
zbMATH Keywords: \(q\)-Euler polynomials
author: Jacques Désarménien
reviewed by: J. Cigler
MaRDI profile type: Publication
cites work: Divisibility Properties of the q-Tangent Numbers
cites work: Congruences for the q-secant numbers
cites work: Q4052481
cites work: \(q\)-Bernoulli numbers and polynomials
cites work: Further Divisibility Properties of the q-Tangent Numbers
cites work: Major Index and Inversion Number of Permutations
cites work: Computation of Tangent, Euler, and Bernoulli Numbers
cites work: Generalized Worpitzky identities with applications to permutation enumeration
cites work: Binomial posets, Möbius inversion, and permutation enumeration
description: scientific article; zbMATH DE number 3762062