Asymptotic formulae for Titchmarsh-type divisor sums are obtained with strong error terms that are uniform in the shift parameter. This applies to more general arithmetic functions such as sums of two squares, improving the error term in the representation of the number as a sum of a prime and two squares, and to Fourier coefficients of cusp forms, generalizing a result of Pitt
The Abel-Tauber process consists of the Abelian process of forming the Riesz sums and the subsequent...
ABSTRACT. In this article we prove a general theorem which establishes the existence of limiting dis...
Let α(n) denote the Fourier coefficients of cusp forms or the number of divisors of n. Estimates of ...
International audienceWe prove a bound for quintilinear sums of Kloosterman sums, with congruence co...
We apply the character sums method of Lenstra, Moree, and Stevenhagen, to explicitly compute the con...
Let F(x) be the remainder term in the mean square formula of the error term (t) in the Dirichlet div...
International audienceGiven a multiplicative function~$f$ which is periodic over the primes, we obta...
AbstractLet Δk(x) = Δ(a1, …, ak; x) be the error term in the asymptotic formula for the summatory fu...
This is the author accepted manuscript. The final version is available from the Royal Society via th...
We prove an asymptotic formula for the shifted convolution of the divisor functions \(d_k(n)\) and \...
In this paper, we considered two generalisations of the classical Titchmarsh divisor problem: friabl...
In 1927, Emil Artin conjectured a product expression for the density of primes p for which a given ...
ABSTRACT. Let r2(n) denote the number of representations of n as a sum of two squares. Finding the p...
This thesis consists of three topics. The first one is on quadratic Waring-Goldbach problems. The se...
AbstractUsing analytic methods, an asymptotic formula, which holds uniformly for squarefree positive...
The Abel-Tauber process consists of the Abelian process of forming the Riesz sums and the subsequent...
ABSTRACT. In this article we prove a general theorem which establishes the existence of limiting dis...
Let α(n) denote the Fourier coefficients of cusp forms or the number of divisors of n. Estimates of ...
International audienceWe prove a bound for quintilinear sums of Kloosterman sums, with congruence co...
We apply the character sums method of Lenstra, Moree, and Stevenhagen, to explicitly compute the con...
Let F(x) be the remainder term in the mean square formula of the error term (t) in the Dirichlet div...
International audienceGiven a multiplicative function~$f$ which is periodic over the primes, we obta...
AbstractLet Δk(x) = Δ(a1, …, ak; x) be the error term in the asymptotic formula for the summatory fu...
This is the author accepted manuscript. The final version is available from the Royal Society via th...
We prove an asymptotic formula for the shifted convolution of the divisor functions \(d_k(n)\) and \...
In this paper, we considered two generalisations of the classical Titchmarsh divisor problem: friabl...
In 1927, Emil Artin conjectured a product expression for the density of primes p for which a given ...
ABSTRACT. Let r2(n) denote the number of representations of n as a sum of two squares. Finding the p...
This thesis consists of three topics. The first one is on quadratic Waring-Goldbach problems. The se...
AbstractUsing analytic methods, an asymptotic formula, which holds uniformly for squarefree positive...
The Abel-Tauber process consists of the Abelian process of forming the Riesz sums and the subsequent...
ABSTRACT. In this article we prove a general theorem which establishes the existence of limiting dis...
Let α(n) denote the Fourier coefficients of cusp forms or the number of divisors of n. Estimates of ...
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