Add to ORKGrestricted sums of the number of divisors of an integer function including that described in [2{9, 11] and summarised in Section 2 below. In this paper asymptotic expressions are derived for sums of the form
In this paper, we shall establish a rather general asymptotic formula in short intervals for a class...
AbstractFor the Dirichlet series ∑∞n = 1 (∏kr = 1 σar(n)/ns), we obtain the representation [formula]...
Let $X$ be a large integer. We prove that, for any fixed positive integer $k$, a suitable asymptotic...
There is a body of work in the literature on various restricted sums of the number of divisors of an...
AbstractLet d(ω; α, γ) be the number of divisors of the Gaussian integer ω which lie in the arithmet...
We reduce the number of variables required to guarantee the validity of the classical asymptotic for...
We give certain optimal inequalities for the divisor function. Such inequalities are useful in estim...
AbstractLet σα(n) be the sum of the αth power of the positive divisors of n. We establish an asympto...
The asymptotical formula obtaining for the quantity of divisors of numbers [n_c], c<1, n greater ...
We consider very short sums of the divisor function in arithmetic progressions prime to a fixed modu...
The work covers the additive properties of multiplicative functions. The aim is to deduce the asympt...
The divisor function $\tau(n)$ counts the number of positive divisors of an integer n. We are concer...
summary:A certain generalized divisor function $d^*(n)$ is studied which counts the number of factor...
AbstractLet Δk(x) = Δ(a1, …, ak; x) be the error term in the asymptotic formula for the summatory fu...
summary:Let $l\geqslant 2$ be an integer. Recently, Hu and Lü offered the asymptotic formula for the...
In this paper, we shall establish a rather general asymptotic formula in short intervals for a class...
AbstractFor the Dirichlet series ∑∞n = 1 (∏kr = 1 σar(n)/ns), we obtain the representation [formula]...
Let $X$ be a large integer. We prove that, for any fixed positive integer $k$, a suitable asymptotic...
There is a body of work in the literature on various restricted sums of the number of divisors of an...
AbstractLet d(ω; α, γ) be the number of divisors of the Gaussian integer ω which lie in the arithmet...
We reduce the number of variables required to guarantee the validity of the classical asymptotic for...
We give certain optimal inequalities for the divisor function. Such inequalities are useful in estim...
AbstractLet σα(n) be the sum of the αth power of the positive divisors of n. We establish an asympto...
The asymptotical formula obtaining for the quantity of divisors of numbers [n_c], c<1, n greater ...
We consider very short sums of the divisor function in arithmetic progressions prime to a fixed modu...
The work covers the additive properties of multiplicative functions. The aim is to deduce the asympt...
The divisor function $\tau(n)$ counts the number of positive divisors of an integer n. We are concer...
summary:A certain generalized divisor function $d^*(n)$ is studied which counts the number of factor...
AbstractLet Δk(x) = Δ(a1, …, ak; x) be the error term in the asymptotic formula for the summatory fu...
summary:Let $l\geqslant 2$ be an integer. Recently, Hu and Lü offered the asymptotic formula for the...
In this paper, we shall establish a rather general asymptotic formula in short intervals for a class...
AbstractFor the Dirichlet series ∑∞n = 1 (∏kr = 1 σar(n)/ns), we obtain the representation [formula]...
Let $X$ be a large integer. We prove that, for any fixed positive integer $k$, a suitable asymptotic...