On a certain class of arithmetic functions

A homothetic arithmetic function of ratio $K$ is a function $f \mathbb{N}\rightarrow R$ such that $f(Kn)=f(n)$ for every $n\in\mathbb{N}$. Periodic arithmetic funtions are always homothetic, while the converse is not true in general. In this paper we study homothetic and periodic arithmetic function...

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Bibliographic Details
Main Author: Antonio M. Oller-Marcén
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2017-04-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/142/1/mb142_1_3.pdf