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

Mathematics – Number Theory

Scientific paper

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

Scientific paper

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".

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