We study the asymptotic formula of ∑n≤x f * g(n) for some arithmetical functions f and g. This generalizes the case 1 * v(n) investigated by Balakrishnan and Pétermann.link_to_subscribed_fulltex
Let ν be a multiplicative arithmetic function with support of positive asymptotic density. We prove ...
Let n be a positive integer. Let (Formula presented.) denote the difference between the number of (p...
27 pagesIn the first part we establish a connection between the Euler-Maclaurin summation formula an...
summary:We find, via the Selberg-Delange method, an asymptotic formula for the mean of arithmetic fu...
In this note we obtain a convolution identity for the coefficients B(n)(alpha, theta, q) defined by ...
AbstractA formula is proved, that can be used to obtain Ω-estimates in a certain class of arithmetic...
Abstract. In this paper we considered Apostol’s article [2] and we defined for B-Binomial convolutio...
In this paper we obtain a convolution identity for the coefficients Bn(α,θ,q) defined by ∑n=−∞∞Bn(α...
We calculate some special convolution sums related to the odd divisors multiplied by the even diviso...
AbstractWe obtain, for quadratic and cyclotimic fields, asymptotic formulas for two arithmetic funct...
We obtain asymptotic formulas for the sums $\sum_{n_1,\ldots,n_k\le x} f((n_1,\ldots,n_k))$ and $ \s...
AbstractWe will show that the sum-of-digits function has an asymptotic Gaussian behaviour, and we de...
K.T. Atanassov introduced the two arithmetic functions \[ I(n) = \prod_{\nu=1}^k p_\nu^{1/\alpha_\n...
In this work we will consider several questions concerning the asymptotic nature of arithmetic funct...
AbstractLet d(ω; α, γ) be the number of divisors of the Gaussian integer ω which lie in the arithmet...
Let ν be a multiplicative arithmetic function with support of positive asymptotic density. We prove ...
Let n be a positive integer. Let (Formula presented.) denote the difference between the number of (p...
27 pagesIn the first part we establish a connection between the Euler-Maclaurin summation formula an...
summary:We find, via the Selberg-Delange method, an asymptotic formula for the mean of arithmetic fu...
In this note we obtain a convolution identity for the coefficients B(n)(alpha, theta, q) defined by ...
AbstractA formula is proved, that can be used to obtain Ω-estimates in a certain class of arithmetic...
Abstract. In this paper we considered Apostol’s article [2] and we defined for B-Binomial convolutio...
In this paper we obtain a convolution identity for the coefficients Bn(α,θ,q) defined by ∑n=−∞∞Bn(α...
We calculate some special convolution sums related to the odd divisors multiplied by the even diviso...
AbstractWe obtain, for quadratic and cyclotimic fields, asymptotic formulas for two arithmetic funct...
We obtain asymptotic formulas for the sums $\sum_{n_1,\ldots,n_k\le x} f((n_1,\ldots,n_k))$ and $ \s...
AbstractWe will show that the sum-of-digits function has an asymptotic Gaussian behaviour, and we de...
K.T. Atanassov introduced the two arithmetic functions \[ I(n) = \prod_{\nu=1}^k p_\nu^{1/\alpha_\n...
In this work we will consider several questions concerning the asymptotic nature of arithmetic funct...
AbstractLet d(ω; α, γ) be the number of divisors of the Gaussian integer ω which lie in the arithmet...
Let ν be a multiplicative arithmetic function with support of positive asymptotic density. We prove ...
Let n be a positive integer. Let (Formula presented.) denote the difference between the number of (p...
27 pagesIn the first part we establish a connection between the Euler-Maclaurin summation formula an...
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