An explicit sub-Weyl bound for ζ(1/2 + it).

In this article we prove an explicit sub-Weyl bound for the Riemann zeta function ζ (s) on the critical line s = 1 / 2 + i t. In particular, we show that | ζ (1 / 2 + i t) | ≤ 66.7 t 27 / 164 for t ≥ 3. Combined, our results form the sharpest known bounds on ζ (1 / 2 + i t) for t ≥ exp ⁡ (61). [ABSTRACT FROM AUTHOR]