A note on Pólya's observation concerning Liouville's function

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".

6 pages; In "Herman J. J. te Riele Liber Amicorum", CWI, Amsterdam, December 2010

References in corpus (1)

• The Distribution of Weighted Sums of the Liouville Function and Pólya's Conjecture

Cited by in corpus (1)

• Biases in prime factorizations and Liouville functions for arithmetic progressions