A new upper bound for |ζ(1+it)|

Trudgian, Timothy

Cultural advice

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A new upper bound for |ζ(1+it)|

Date

2014

Authors

Trudgian, Timothy

Publisher

Australian Mathematics Publishing Association

Abstract

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.

URI

http://hdl.handle.net/1885/21141

Collections

ANU Research Publications

Source

Bulletin of the Australian Mathematical Society

Type

Journal article

DOI

10.1017/S0004972713000415

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Cultural advice

A new upper bound for |ζ(1+it)|

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