A note on P\'olya's observation concerning Liouville's function
Number Theory
2013-04-30 v1
Abstract
We show that a certain weighted mean of the Liouville function lambda(n) is negative. In this sense, we can say that the Liouville function is negative "on average".
Cite
@article{arxiv.1112.4911,
title = {A note on P\'olya's observation concerning Liouville's function},
author = {Richard P. Brent and Jan van de Lune},
journal= {arXiv preprint arXiv:1112.4911},
year = {2013}
}
Comments
6 pages; In "Herman J. J. te Riele Liber Amicorum", CWI, Amsterdam, December 2010