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