On the distribution of some means concerning the Euler function
Jean-Marc Deshouillers and Florian Luca
Source: Funct. Approx. Comment. Math. Volume 39, Number 2 (2008), 335-344.
Abstract
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.
Primary Subjects: 11A25
Secondary Subjects: 11A37
Keywords: Euler phi function; distribution of values; distribution modulo 1
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.facm/1229696579
Mathematical Reviews number (MathSciNet):
MR2490744
Functiones et Approximatio Commentarii Mathematici
