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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Format: | Article |
Language: | English |
Published: |
Institute of Mathematics of the Czech Academy of Science
2017-04-01
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Series: | Mathematica Bohemica |
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Online Access: | http://mb.math.cas.cz/full/142/1/mb142_1_3.pdf |