Remarques \'el\'ementaires sur la fonction de M\"obius
Number Theory
2012-09-18 v1
Abstract
We use M\"obius inversion and the Bernoulli polynomials to prove inequalities between the logarithmic summatory function of the M\"obius function and weighted averages of its ordinary summatory function.
Cite
@article{arxiv.1209.3577,
title = {Remarques \'el\'ementaires sur la fonction de M\"obius},
author = {Michel Balazard},
journal= {arXiv preprint arXiv:1209.3577},
year = {2012}
}
Comments
Version d\'etaill\'ee et en fran\c{c}ais d'un article paru aux Travaux de l'Institut Steklov 276 (2012)