5 papers
On a Smoothed Walfisz Divisor Problem
Olivier Bordellès, Florian Daval
This work is in the spirit of our previous investigation on a smooth Dirichlet divisor problem, where we now replace the Dirichlet divisor function by the sum-of-divisors funct…
On a Smoothed Dirichlet Divisor Problem
Olivier Bordellès, Florian Daval
Hardy showed that $\sum_{n \ioe x}τ(n)-x(\log x +2γ-1)$ is not . In this article, we prove that $\sum_{n \ioe x}τ(n)(1-\frac{x}{n})-xP(\log x)=\frac{1}{4}+O \left( \fra…
Sur la somme de Möbius autour de et des sommes dérivées, première étude
Florian Daval
We study in an explicit manner the partial sums of the multiplicative inverse of the Riemann zeta function and its derivative.
Conversions explicites des nombres premiers vers la fonction de Möbius
Florian Daval
We prove that for all thus improving the record for this type of estimates which was $|\sum_{n \leq x} μ(n) | \leq…
Conversions explicites entre des fonctions sommatoires de la fonction de Möbius
Florian Daval
By using exclusively real analysis, we give explicit estimates of some classical summatory functions involving the Möbius function.