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An improved explicit bound on |ζ(1/2 + it)|

Platt, David John; Trudgian, Timothy

Description

This article proves the bound |ζ(12+it)|≤0.732t16log t for t≥. 2, which improves on a result by Cheng and Graham. We also show that |ζ(12+it)|≤0.732|4.678+it|16log |4.678+it| for all t.

CollectionsANU Research Publications
Date published: 2015
Type: Journal article
URI: http://hdl.handle.net/1885/27639
Source: Journal of Number Theory
DOI: 10.1016/j.jnt.2014.08.019

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