Sur les fonctions arithmétiques

Abstract

This memoir consists of four chapters. The first one contains fundamental and necessary notions for those who want to start studying a number theory problem. Concepts related to arithmetic functions such as: Multiplicatively, additively, Dirichlet convolution product, Dirichlet inverses and the Moebius inversion formula, ... are the subject of the second chapter. The third chapter is devoted to summation methods, while the last chapter is devoted to the solution of some problems related to the subject and existing in the literature.