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

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Authors

Platt, David John
Trudgian, Timothy

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Academic Press

Abstract

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.

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Source

Journal of Number Theory

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Restricted until

2037-12-31