3 papers
math.NT2026
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 func…
math.NT2026
On a Smoothed Dirichlet Divisor Problem
Olivier Bordellès, Florian Daval
Hardy showed that $\sum_{n \ioe x}Ï(n)-x(\log x +2γ-1)$ is not . In this article, we prove that $\sum_{n \ioe x}Ï(n)(1-\frac{x}{n})-xP(\log x)=\frac{1}{4}+O \left( \…
math.NT2024
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.