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A new upper bound for |ζ(1+it)|

Trudgian, Timothy

Description

It is known that ζ(1+ it)<(log t)2/3 when t> 1. This paper provides a new explicit estimate ζ(1+ it) ≤ 3/4 log t, for t≥ 3. This gives the best upper bound on ζ (1+ it) for t≤ 10 2̇ 105.

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
URI: http://hdl.handle.net/1885/21141
Source: Bulletin of the Australian Mathematical Society
DOI: 10.1017/S0004972713000415

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