AbstractThe main purpose of this paper is using a mean value theorem of Dirichlet L-functions to study the asymptotic property of a hybrid mean value of a Cochrane sum, and give an interesting mean value formula
AbstractIn this paper, we use the properties of Gauss sums, primitive characters and the mean value ...
AbstractWe prove that for any nonnegative integers n and r the binomial sum∑k=−nn(2nn−k)k2r is divis...
AbstractA singular integral equation with a Holderian second member function on [a,b] is considered ...
AbstractWe present several congruences for sums of the type ∑k=1p−1mkk−r(2kk)−1, modulo a power of a...
AbstractThis is an addendum to the paper [K. Bacher, K.T. Sturm, Localization and tensorization prop...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...
Abstract In this paper, using the Steklov function, we introduce the generalized continuity modulus ...
AbstractLet p be an odd prime and a be an integer coprime to p. Denote by N(a,p) the number of pairs...
AbstractAs a generalization of Calkin's identity and its alternating form, we compute a kind of bino...
AbstractFor any positive integer m we obtain the asymptotic formula,|B∩V′|=|B′|ϕ(m)+O(8ν(m)τ(m)(logm...
AbstractThe Apéry polynomials are defined by An(x)=∑k=0n(nk)2(n+kk)2xk for all nonnegative integers ...
AbstractWe prove a conjecture of R. Chapman asserting that, for any prime p≡3(mod4), the determinant...
AbstractWe show that the set of conditionally convergent real series considered with Cauchy product ...
AbstractAn upper bound estimate of high-dimensional Cochrane sums is given in this note using Weinst...
AbstractThe main purpose of this paper is to prove a conjecture of the Euler numbers and its general...
AbstractIn this paper, we use the properties of Gauss sums, primitive characters and the mean value ...
AbstractWe prove that for any nonnegative integers n and r the binomial sum∑k=−nn(2nn−k)k2r is divis...
AbstractA singular integral equation with a Holderian second member function on [a,b] is considered ...
AbstractWe present several congruences for sums of the type ∑k=1p−1mkk−r(2kk)−1, modulo a power of a...
AbstractThis is an addendum to the paper [K. Bacher, K.T. Sturm, Localization and tensorization prop...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...
Abstract In this paper, using the Steklov function, we introduce the generalized continuity modulus ...
AbstractLet p be an odd prime and a be an integer coprime to p. Denote by N(a,p) the number of pairs...
AbstractAs a generalization of Calkin's identity and its alternating form, we compute a kind of bino...
AbstractFor any positive integer m we obtain the asymptotic formula,|B∩V′|=|B′|ϕ(m)+O(8ν(m)τ(m)(logm...
AbstractThe Apéry polynomials are defined by An(x)=∑k=0n(nk)2(n+kk)2xk for all nonnegative integers ...
AbstractWe prove a conjecture of R. Chapman asserting that, for any prime p≡3(mod4), the determinant...
AbstractWe show that the set of conditionally convergent real series considered with Cauchy product ...
AbstractAn upper bound estimate of high-dimensional Cochrane sums is given in this note using Weinst...
AbstractThe main purpose of this paper is to prove a conjecture of the Euler numbers and its general...
AbstractIn this paper, we use the properties of Gauss sums, primitive characters and the mean value ...
AbstractWe prove that for any nonnegative integers n and r the binomial sum∑k=−nn(2nn−k)k2r is divis...
AbstractA singular integral equation with a Holderian second member function on [a,b] is considered ...
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