Conversions explicites entre des fonctions sommatoires de la fonction de M\"obius

TL;DR

This paper provides explicit real analysis-based estimates for classical summatory functions involving the Möbius function, enhancing understanding of their behavior.

Contribution

It introduces explicit estimates for Möbius summatory functions using real analysis, avoiding complex analysis techniques.

Findings

Explicit bounds for Möbius summatory functions

Improved understanding of their asymptotic behavior

Potential applications in number theory

Abstract

By using exclusively real analysis, we give explicit estimates of some classical summatory functions involving the M\"obius function.