Open Access
December 2008 On the distribution of some means concerning the Euler function
Jean-Marc Deshouillers, Florian Luca
Funct. Approx. Comment. Math. 39(2): 335-344 (December 2008). DOI: 10.7169/facm/1229696579


In this paper, we show that the sequences of arithmetic, geometric and harmonic means of the first $n$ values of the Euler function are all three dense modulo $1$. This answers in the affirmative a question of A. Schinzel.


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Jean-Marc Deshouillers. Florian Luca. "On the distribution of some means concerning the Euler function." Funct. Approx. Comment. Math. 39 (2) 335 - 344, December 2008.


Published: December 2008
First available in Project Euclid: 19 December 2008

MathSciNet: MR2490744
zbMATH: 1194.11077
Digital Object Identifier: 10.7169/facm/1229696579

Primary: 11A25
Secondary: 11A37

Keywords: distribution modulo 1 , distribution of values , Euler phi function

Rights: Copyright © 2008 Adam Mickiewicz University

Vol.39 • No. 2 • December 2008
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