AbstractLet {ϵd} be a sequence of nonnegative numbers and f(n) = Σ ϵd, the sum being over divisors d of n. We say that f has the distribution function F if for all c ≥ 0, the number of integers n ≤ x for which f(n) > c is asymptotic to xF(c), and we investigate when F exists and when it is continuous
AbstractLet σ(n) be the sum of the positive divisors of the positive integer n. We give an elementar...
AbstractLet d(ω; α, γ) be the number of divisors of the Gaussian integer ω which lie in the arithmet...
We study the mean value of generalized divisor functions $τ_κ(n)$ over integers without large prime ...
AbstractLet σα(n) be the sum of the αth power of the positive divisors of n. We establish an asympto...
Let σ(n)=∑d∣nd be the usual sum-of-divisors function. In 1933, Davenport showed that n/σ(n) possesse...
AbstractLet σ(n) be the sum of the positive divisors of n, and let A(t) be the natural density of th...
In this paper we sharpen Hildebrand’s earlier result on a conjecture of Erdos on limit points of t...
In this paper we prove the tauberian type theorem containing the asymptotic series for the Dirichle...
This thesis gives some order estimates and asymptotic formulae associated with general classes of no...
The function of defined to be the sum of all positive integer divisors of n. This dissertation is a ...
International audienceIn this paper we study the distribution of pairs (d1, d2) of positive integers...
Let α(n) denote the Fourier coefficients of cusp forms or the number of divisors of n. Estimates of ...
The asymptotical formula obtaining for the quantity of divisors of numbers [n_c], c<1, n greater ...
Abstract: Let F be a distribution and let f be a locally summable function. The distribution F (f) i...
We give certain optimal inequalities for the divisor function. Such inequalities are useful in estim...
AbstractLet σ(n) be the sum of the positive divisors of the positive integer n. We give an elementar...
AbstractLet d(ω; α, γ) be the number of divisors of the Gaussian integer ω which lie in the arithmet...
We study the mean value of generalized divisor functions $τ_κ(n)$ over integers without large prime ...
AbstractLet σα(n) be the sum of the αth power of the positive divisors of n. We establish an asympto...
Let σ(n)=∑d∣nd be the usual sum-of-divisors function. In 1933, Davenport showed that n/σ(n) possesse...
AbstractLet σ(n) be the sum of the positive divisors of n, and let A(t) be the natural density of th...
In this paper we sharpen Hildebrand’s earlier result on a conjecture of Erdos on limit points of t...
In this paper we prove the tauberian type theorem containing the asymptotic series for the Dirichle...
This thesis gives some order estimates and asymptotic formulae associated with general classes of no...
The function of defined to be the sum of all positive integer divisors of n. This dissertation is a ...
International audienceIn this paper we study the distribution of pairs (d1, d2) of positive integers...
Let α(n) denote the Fourier coefficients of cusp forms or the number of divisors of n. Estimates of ...
The asymptotical formula obtaining for the quantity of divisors of numbers [n_c], c<1, n greater ...
Abstract: Let F be a distribution and let f be a locally summable function. The distribution F (f) i...
We give certain optimal inequalities for the divisor function. Such inequalities are useful in estim...
AbstractLet σ(n) be the sum of the positive divisors of the positive integer n. We give an elementar...
AbstractLet d(ω; α, γ) be the number of divisors of the Gaussian integer ω which lie in the arithmet...
We study the mean value of generalized divisor functions $τ_κ(n)$ over integers without large prime ...
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