%0 Journal Article %T A note on P¨Žlya's observation concerning Liouville's function %A Richard P. Brent %A Jan van de Lune %J Mathematics %D 2011 %I arXiv %X 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". %U http://arxiv.org/abs/1112.4911v1