AbstractLet m,n≥2, m≤n. It is well-known that the number of (two-dimensional) threshold functions on an m×n rectangular grid is t(m,n)=6π2(mn)2+O(m2nlogn)+O(mn2loglogn)=6π2(mn)2+O(mn2logm). We improve the error term by showing that t(m,n)=6π2(mn)2+O(mn2)
Contains a correction with respect to the printed versionWe provide sharp estimates for the number o...
AbstractIn this paper, we study some Ostrowski-like type inequalities proposed by Huy and Ngô. We gi...
In this paper some inequalities for Dirichlet\u27s and Fejer\u27s kernels proved in [6] are refined ...
Let \u3c8K be the Chebyshev function of a number field K. Let \u3c8K(1)(x) := 2b0x\u3c8K(t) dt and \...
AbstractThe precise Sobolev exponent s∞(φn) of the Butterworth refinable function φn associated with...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...
AbstractLet σ(n) be the sum of the positive divisors of n, and let A(t) be the natural density of th...
In the paper, by virtue of the convolution theorem for the Laplace transforms, with the aid of three...
AbstractThe n-th product level of a skew–field D, psn(D), is a generalization of the n-th level of a...
AbstractRamanujan recorded additive formulae of theta functions that are related to modular equation...
An improved estimate is given for |θ (x) − x|, where θ (x) = p≤x log p. Four applications are give...
AbstractLet γ=0.577215… be the Euler–Mascheroni constant, and let Rn=∑k=1n1k−log(n+12). We prove tha...
AbstractWe present several congruences for sums of the type ∑k=1p−1mkk−r(2kk)−1, modulo a power of a...
AbstractIn this paper, we prove a new identity for the product of two partial theta functions. An im...
AbstractIn this paper we obtain an improved asymptotic formula on the frequency of k-free numbers wi...
Contains a correction with respect to the printed versionWe provide sharp estimates for the number o...
AbstractIn this paper, we study some Ostrowski-like type inequalities proposed by Huy and Ngô. We gi...
In this paper some inequalities for Dirichlet\u27s and Fejer\u27s kernels proved in [6] are refined ...
Let \u3c8K be the Chebyshev function of a number field K. Let \u3c8K(1)(x) := 2b0x\u3c8K(t) dt and \...
AbstractThe precise Sobolev exponent s∞(φn) of the Butterworth refinable function φn associated with...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...
AbstractLet σ(n) be the sum of the positive divisors of n, and let A(t) be the natural density of th...
In the paper, by virtue of the convolution theorem for the Laplace transforms, with the aid of three...
AbstractThe n-th product level of a skew–field D, psn(D), is a generalization of the n-th level of a...
AbstractRamanujan recorded additive formulae of theta functions that are related to modular equation...
An improved estimate is given for |θ (x) − x|, where θ (x) = p≤x log p. Four applications are give...
AbstractLet γ=0.577215… be the Euler–Mascheroni constant, and let Rn=∑k=1n1k−log(n+12). We prove tha...
AbstractWe present several congruences for sums of the type ∑k=1p−1mkk−r(2kk)−1, modulo a power of a...
AbstractIn this paper, we prove a new identity for the product of two partial theta functions. An im...
AbstractIn this paper we obtain an improved asymptotic formula on the frequency of k-free numbers wi...
Contains a correction with respect to the printed versionWe provide sharp estimates for the number o...
AbstractIn this paper, we study some Ostrowski-like type inequalities proposed by Huy and Ngô. We gi...
In this paper some inequalities for Dirichlet\u27s and Fejer\u27s kernels proved in [6] are refined ...
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