Some arithmetic properties of the \(q\)-Euler numbers and \(q\)-Salié numbers
From MaRDI portal
Publication:2493107
DOI10.1016/j.ejc.2005.04.009zbMath1111.05009arXivmath/0504569OpenAlexW2142166444MaRDI QIDQ2493107
Publication date: 9 June 2006
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0504569
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) Congruences; primitive roots; residue systems (11A07)
Related Items
Some congruences on \(q\)-Catalan numbers, NEW CONGRUENCES FOR SUMS INVOLVING APÉRY NUMBERS OR CENTRAL DELANNOY NUMBERS, On certain multi-variable rational identities derived from the rigidity of signature of manifolds, On the divisibility of \(q\)-Salié numbers, A \(q\)-analogue of a Ramanujan-type supercongruence involving central binomial coefficients, Factors of some lacunary \(q\)-binomial sums, On orbits of order ideals of minuscule posets, A combinatorial proof of the cyclic sieving phenomenon for faces of coxeterhedra, Factors of sums and alternating sums of products of \(q\)-binomial coefficients and powers of \(q\)-integers, The cyclic sieving phenomenon for faces of generalized cluster complexes, Factors of alternating binomial sums, Factors of the Gaussian coefficients, Proofs of two conjectures on Catalan triangle numbers, On divisibility of sums of Apéry polynomials, Proof of a conjecture involving Sun polynomials, Factors of binomial sums from the Catalan triangle, Some congruences related to the q-Fermat quotients
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Congruences for the q-secant numbers
- An analogue of Kummer congruences for \(q\)-Euler numbers
- Arithmetic properties of generalized Euler numbers
- The coefficients of \(\cosh x/\cos x\)
- On Euler numbers modulo powers of two
- The power of a prime that divides a generalized binomial coefficient.
- Some Properties of Generalized Euler Numbers
- Further Divisibility Properties of the q-Tangent Numbers
- Some Congruences for Generalized Euler Numbers
- Divisibility Properties of the q-Tangent Numbers
- Generalized Powers