A new upper bound for |ζ(1+it)|
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.
|Collections||ANU Research Publications|
|Source:||Bulletin of the Australian Mathematical Society|
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