AbstractLet Δk(x) = Δ(a1, …, ak; x) be the error term in the asymptotic formula for the summatory function of the general divisor function d(a1, …, ak; n), which is generated by ζ(a1s) … ζ(aks) (1 ≤ a1 ≤ … ≤ ak are fixed integers). Precise omega results for the mean square integral ∫1x Δk2(x) dx are given, with applications to some specific divisor problems
There is a body of work in the literature on various restricted sums of the number of divisors of an...
International audienceWe prove a bound for quintilinear sums of Kloosterman sums, with congruence co...
This is the author accepted manuscript. The final version is available from the Royal Society via th...
AbstractLet Δk(x) = Δ(a1, …, ak; x) be the error term in the asymptotic formula for the summatory fu...
AbstractThis paper deals with a lower estimate for the general asymmetric divisor problem. Continuin...
summary:A certain generalized divisor function $d^*(n)$ is studied which counts the number of factor...
AbstractLet d(ω; α, γ) be the number of divisors of the Gaussian integer ω which lie in the arithmet...
Let F(x) be the remainder term in the mean square formula of the error term (t) in the Dirichlet div...
Asymptotic formulae for Titchmarsh-type divisor sums are obtained with strong error terms that are u...
AbstractLet ζ be the Riemann zeta-function and write ζ(s)2 = Σn >- 1 dz(n)n−s for real s > 1, z > 1,...
We prove an asymptotic formula for the shifted convolution of the divisor functions \(d_k(n)\) and \...
AbstractUsing analytic methods, an asymptotic formula, which holds uniformly for squarefree positive...
AbstractLet Δ(x) be the error term in the Dirichlet divisor problem. The purpose of this paper is to...
AbstractThe function E(T) is used to denote the error term in the mean-square estimate for the Riema...
International audienceLet σ(n) be the sum of all divisors of n and let [t] be the integral part of t...
There is a body of work in the literature on various restricted sums of the number of divisors of an...
International audienceWe prove a bound for quintilinear sums of Kloosterman sums, with congruence co...
This is the author accepted manuscript. The final version is available from the Royal Society via th...
AbstractLet Δk(x) = Δ(a1, …, ak; x) be the error term in the asymptotic formula for the summatory fu...
AbstractThis paper deals with a lower estimate for the general asymmetric divisor problem. Continuin...
summary:A certain generalized divisor function $d^*(n)$ is studied which counts the number of factor...
AbstractLet d(ω; α, γ) be the number of divisors of the Gaussian integer ω which lie in the arithmet...
Let F(x) be the remainder term in the mean square formula of the error term (t) in the Dirichlet div...
Asymptotic formulae for Titchmarsh-type divisor sums are obtained with strong error terms that are u...
AbstractLet ζ be the Riemann zeta-function and write ζ(s)2 = Σn >- 1 dz(n)n−s for real s > 1, z > 1,...
We prove an asymptotic formula for the shifted convolution of the divisor functions \(d_k(n)\) and \...
AbstractUsing analytic methods, an asymptotic formula, which holds uniformly for squarefree positive...
AbstractLet Δ(x) be the error term in the Dirichlet divisor problem. The purpose of this paper is to...
AbstractThe function E(T) is used to denote the error term in the mean-square estimate for the Riema...
International audienceLet σ(n) be the sum of all divisors of n and let [t] be the integral part of t...
There is a body of work in the literature on various restricted sums of the number of divisors of an...
International audienceWe prove a bound for quintilinear sums of Kloosterman sums, with congruence co...
This is the author accepted manuscript. The final version is available from the Royal Society via th...
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