In this paper, by studying three $q$-Catalan identities given by Andrews, we arrive at a certain number of congruences. These congruences are all modulo $Phi_n(q)$, the $n$-th cyclotomic polynomial or the related functions and modulo $q$-integers
AbstractBy means of partial fraction decomposition, we establish a q-extension of an algebraic ident...
AbstractWe find an enumeration formula for a (t,q)-Euler number which is a generalization of the q-E...
AbstractIn this paper following some ideas introduced by Andrews (Combinatorics and Ramanujan's “los...
Based on a $q$-congruence of the author and Petrov, we set up a $q$-analogue of Sun–Tauraso’s congru...
AbstractThe purpose of this paper is to give a proof of Kummer type congruence for the q-Bernoulli n...
AbstractFor m>n≥0 and 1≤d≤m, it is shown that the q-Euler number E2m(q) is congruent to qm−nE2n(q)mo...
AbstractIn the present paper combinatorial identities involving q-dual sequences or polynomials with...
AbstractRecently, Guo and Zeng discovered two families of polynomials featuring in a q-analogue of F...
AbstractBy using the Newton interpolation formula, we generalize the recent identities on the Catala...
AbstractWe present some simple observations on factors of the q-binomial coefficients, the q-Catalan...
AbstractWe show that Narayana polynomials are a specialization of row Hall–Littlewood symmetric func...
AbstractWe first establish the result that the Narayana polynomials can be represented as the integr...
AbstractWe give an explicit p-adic expansion of ∑∗j=1npqj/[j]r as a power series in n which generali...
International audienceThis paper contains two results. First, I propose a $q$-generalization of a ce...
AbstractWe present some variations on the Greene–Krammerʼs identity which involve q-Catalan numbers....
AbstractBy means of partial fraction decomposition, we establish a q-extension of an algebraic ident...
AbstractWe find an enumeration formula for a (t,q)-Euler number which is a generalization of the q-E...
AbstractIn this paper following some ideas introduced by Andrews (Combinatorics and Ramanujan's “los...
Based on a $q$-congruence of the author and Petrov, we set up a $q$-analogue of Sun–Tauraso’s congru...
AbstractThe purpose of this paper is to give a proof of Kummer type congruence for the q-Bernoulli n...
AbstractFor m>n≥0 and 1≤d≤m, it is shown that the q-Euler number E2m(q) is congruent to qm−nE2n(q)mo...
AbstractIn the present paper combinatorial identities involving q-dual sequences or polynomials with...
AbstractRecently, Guo and Zeng discovered two families of polynomials featuring in a q-analogue of F...
AbstractBy using the Newton interpolation formula, we generalize the recent identities on the Catala...
AbstractWe present some simple observations on factors of the q-binomial coefficients, the q-Catalan...
AbstractWe show that Narayana polynomials are a specialization of row Hall–Littlewood symmetric func...
AbstractWe first establish the result that the Narayana polynomials can be represented as the integr...
AbstractWe give an explicit p-adic expansion of ∑∗j=1npqj/[j]r as a power series in n which generali...
International audienceThis paper contains two results. First, I propose a $q$-generalization of a ce...
AbstractWe present some variations on the Greene–Krammerʼs identity which involve q-Catalan numbers....
AbstractBy means of partial fraction decomposition, we establish a q-extension of an algebraic ident...
AbstractWe find an enumeration formula for a (t,q)-Euler number which is a generalization of the q-E...
AbstractIn this paper following some ideas introduced by Andrews (Combinatorics and Ramanujan's “los...
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