An improved explicit bound on |ζ(12+it)|

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.