On a certain class of arithmetic functions
A homothetic arithmetic function of ratio $K$ is a function $f mathbb{N} ightarrow R$ such that $f(Kn)=f(n)$ for every $ninmathbb{N}$.Periodic arithmetic funtions are always homothetic, while the converse is trophy husband apron not true in general.In this paper we study homothetic and periodic exm1996 arithmetic functions.In particular we give an