On a certain class of arithmetic functions
On a certain class of arithmetic functions
Blog Article
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 discount greenery arithmetic funtions are always homothetic, while the converse is not true in general.In this paper we study 2014 dodge ram 1500 fender flares homothetic and periodic arithmetic functions.
In particular we give an upper bound for the number of elements of $f(mathbb{N})$ in terms of the period and the ratio of $f$.