Publication date
September 2006
DOI Publisher
Elsevier B.V. ISSN
0012-365X Citation count (estimate)
8Abstract
AbstractWe investigate some arithmetic properties of the q-Fibonacci numbers and the q-Pell numbers
AbstractWe investigate some arithmetic properties of the q-Fibonacci numbers and the q-Pell numbers
AbstractPaule and Schneider (2003) [3], and Chu (Chu and Donno) (2005) [1] gave a family of wonderfu...
AbstractWe prove that for any nonnegative integers n and r the binomial sum∑k=−nn(2nn−k)k2r is divis...
AbstractIn this work we investigate Plancherel–Rotach type asymptotics for some q-series as q→1 in a...
AbstractIn this paper we establish a q-analogue of a congruence of Sun concerning the products of bi...
AbstractIn this paper, we use the generalized Andrews–Askey integral and Milne’s U(n+1)q-binomial th...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...
AbstractIn this paper, we give an extension of the q-beta integral. Applications of the extension ar...
AbstractWe present some variations on the Greene–Krammerʼs identity which involve q-Catalan numbers....
AbstractIn this paper, we consider two types of extended Euler sums:Ep,q(k)=∑n=1∞1nq∑r=1kn1rp,Tp,q(k...
AbstractLet [x] be the integral part of x. Let p>5 be a prime. In the paper we mainly determine ∑x=1...
AbstractThe Apéry polynomials are given byAn(x)=∑k=0n(nk)2(n+kk)2xk(n=0,1,2,…). (Those An=An(1) are ...
AbstractWe introduce multiple q-Mahler measures and we calculate some specific examples, where multi...
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...
AbstractLet n,p and q be odd primes. In this paper, using some arithmetical properties of Lucas numb...
AbstractLet p be an odd prime number and let θ be a nontrivial even character of the Galois group of...
AbstractPaule and Schneider (2003) [3], and Chu (Chu and Donno) (2005) [1] gave a family of wonderfu...
AbstractWe prove that for any nonnegative integers n and r the binomial sum∑k=−nn(2nn−k)k2r is divis...
AbstractIn this work we investigate Plancherel–Rotach type asymptotics for some q-series as q→1 in a...
AbstractIn this paper we establish a q-analogue of a congruence of Sun concerning the products of bi...
AbstractIn this paper, we use the generalized Andrews–Askey integral and Milne’s U(n+1)q-binomial th...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...
AbstractIn this paper, we give an extension of the q-beta integral. Applications of the extension ar...
AbstractWe present some variations on the Greene–Krammerʼs identity which involve q-Catalan numbers....
AbstractIn this paper, we consider two types of extended Euler sums:Ep,q(k)=∑n=1∞1nq∑r=1kn1rp,Tp,q(k...
AbstractLet [x] be the integral part of x. Let p>5 be a prime. In the paper we mainly determine ∑x=1...
AbstractThe Apéry polynomials are given byAn(x)=∑k=0n(nk)2(n+kk)2xk(n=0,1,2,…). (Those An=An(1) are ...
AbstractWe introduce multiple q-Mahler measures and we calculate some specific examples, where multi...
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...
AbstractLet n,p and q be odd primes. In this paper, using some arithmetical properties of Lucas numb...
AbstractLet p be an odd prime number and let θ be a nontrivial even character of the Galois group of...
AbstractPaule and Schneider (2003) [3], and Chu (Chu and Donno) (2005) [1] gave a family of wonderfu...
AbstractWe prove that for any nonnegative integers n and r the binomial sum∑k=−nn(2nn−k)k2r is divis...
AbstractIn this work we investigate Plancherel–Rotach type asymptotics for some q-series as q→1 in a...
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