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Subconvexity for the Riemann zeta function and the divisor problem

Huxley, Martin Neil and Ivic, Aleksandar 2007. Subconvexity for the Riemann zeta function and the divisor problem. Bulletin CXXXIV de l'Acad\'emie Serbe des Sciences et des Arts 32 , pp. 13-32.

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Abstract

A simple proof of the classical subconvexity bound $\zeta(1/2+it) \ll_\epsilon t^{1/6+\epsilon}$ for the Riemann zeta-function is given, and estimation by more refined techniques is discussed. The connections between the Dirichlet divisor problem and the mean square of $|\zeta(1/2+it)|$ are analysed.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Last Modified: 04 Jun 2017 04:01
URI: http://orca-mwe.cf.ac.uk/id/eprint/30994

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