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.
Publié le : 2008-12-15
Classification:
Euler phi function,
distribution of values,
distribution modulo 1,
11A25,
11A37
@article{1229696579,
author = {Deshouillers, Jean-Marc and Luca, Florian},
title = {On the distribution of some means concerning the Euler function},
journal = {Funct. Approx. Comment. Math.},
volume = {38},
number = {1},
year = {2008},
pages = { 335-344},
language = {en},
url = {http://dml.mathdoc.fr/item/1229696579}
}
Deshouillers, Jean-Marc; Luca, Florian. On the distribution of some means concerning the Euler function. Funct. Approx. Comment. Math., Tome 38 (2008) no. 1, pp. 335-344. http://gdmltest.u-ga.fr/item/1229696579/