Between the problems of Pólya and Turán

Mossinghoff, M; Trudgian, Timothy

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Between the problems of Pólya and Turán

Date

2012

Authors

Mossinghoff, M

Trudgian, Timothy

Publisher

Australian Mathematics Publishing Association

Abstract

We investigate the behaviour of the function Lα(x) = Σn≤xλ(n)/nα, where λ (n) is the Liouville function and α is a real parameter. The case where α =0 was investigated by Pólya; the case α =1, by Turán. The question of the existence of sign ch