Between the problems of Pólya and Turán

Date

2012

Authors

Mossinghoff, M
Trudgian, Timothy

Journal Title

Journal ISSN

Volume Title

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

Description

Keywords

Keywords: Liouville function; Pólya's problem; Riemann hypothesis; Turán's problem

Citation

Source

Journal of the Australian Mathematical Society

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1017/S1446788712000201

Restricted until

2037-12-31