DOIAbstract
AbstractWe present several congruences for sums of the type ∑k=1p−1mkk−r(2kk)−1, modulo a power of a prime p. They bear interesting similarities with known evaluations for the corresponding infinite series
AbstractWe present several congruences for sums of the type ∑k=1p−1mkk−r(2kk)−1, modulo a power of a prime p. They bear interesting similarities with known evaluations for the corresponding infinite series
AbstractLet a and b be positive integers and let p be an odd prime such that p=ax2+by2 for some inte...
Abstract In this paper, using the Steklov function, we introduce the generalized continuity modulus ...
AbstractWe prove a conjecture of R. Chapman asserting that, for any prime p≡3(mod4), the determinant...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...
AbstractThe Apéry polynomials are defined by An(x)=∑k=0n(nk)2(n+kk)2xk for all nonnegative integers ...
AbstractLet [x] be the integral part of x. Let p>5 be a prime. In the paper we mainly determine ∑x=1...
AbstractRecently, R. Tauraso established finite p-analogues of Apéryʼs famous series for ζ(2) and ζ(...
AbstractLet {Bn(x)} denote Bernoulli polynomials. In this paper we generalize Kummer's congruences b...
AbstractWe prove that for any nonnegative integers n and r the binomial sum∑k=−nn(2nn−k)k2r is divis...
AbstractThe main purpose of this paper is using a mean value theorem of Dirichlet L-functions to stu...
AbstractIn this paper we establish a q-analogue of a congruence of Sun concerning the products of bi...
AbstractAs a generalization of Calkin's identity and its alternating form, we compute a kind of bino...
AbstractThe Apéry polynomials are given byAn(x)=∑k=0n(nk)2(n+kk)2xk(n=0,1,2,…). (Those An=An(1) are ...
AbstractLet q>1 and m>0 be relatively prime integers. We find an explicit period νm(q) such that for...
AbstractThe ψ-operator for (ϕ,Γ)-modules plays an important role in the study of Iwasawa theory via ...
AbstractLet a and b be positive integers and let p be an odd prime such that p=ax2+by2 for some inte...
Abstract In this paper, using the Steklov function, we introduce the generalized continuity modulus ...
AbstractWe prove a conjecture of R. Chapman asserting that, for any prime p≡3(mod4), the determinant...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...
AbstractThe Apéry polynomials are defined by An(x)=∑k=0n(nk)2(n+kk)2xk for all nonnegative integers ...
AbstractLet [x] be the integral part of x. Let p>5 be a prime. In the paper we mainly determine ∑x=1...
AbstractRecently, R. Tauraso established finite p-analogues of Apéryʼs famous series for ζ(2) and ζ(...
AbstractLet {Bn(x)} denote Bernoulli polynomials. In this paper we generalize Kummer's congruences b...
AbstractWe prove that for any nonnegative integers n and r the binomial sum∑k=−nn(2nn−k)k2r is divis...
AbstractThe main purpose of this paper is using a mean value theorem of Dirichlet L-functions to stu...
AbstractIn this paper we establish a q-analogue of a congruence of Sun concerning the products of bi...
AbstractAs a generalization of Calkin's identity and its alternating form, we compute a kind of bino...
AbstractThe Apéry polynomials are given byAn(x)=∑k=0n(nk)2(n+kk)2xk(n=0,1,2,…). (Those An=An(1) are ...
AbstractLet q>1 and m>0 be relatively prime integers. We find an explicit period νm(q) such that for...
AbstractThe ψ-operator for (ϕ,Γ)-modules plays an important role in the study of Iwasawa theory via ...
AbstractLet a and b be positive integers and let p be an odd prime such that p=ax2+by2 for some inte...
Abstract In this paper, using the Steklov function, we introduce the generalized continuity modulus ...
AbstractWe prove a conjecture of R. Chapman asserting that, for any prime p≡3(mod4), the determinant...
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