Multiplicative functions at consecutive integers
Published online by Cambridge University Press: 24 October 2008
Extract
Let λ(n) denote the Liouville function, i.e. λ(n) = 1 if n has an even number of prime factors, and λ(n) = − 1 otherwise. It is natural to expect that the sequence λ(n) (n ≥ 1) behaves like a random sequence of ± signs. In particular, it seems highly plausible that for any choice of εi = ± 1 (i = 0,…, k) we have
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 100 , Issue 2 , September 1986 , pp. 229 - 236
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- Copyright © Cambridge Philosophical Society 1986
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