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In this article we prove an explicit sub-Weyl bound for the Riemann zetafunction $\zeta(s)$ on the critical line $s = 1/2 + it$. In particular, we showthat $|\zeta(1/2 + it)| \le 66.7\, t^{27/164}$ for $t \ge 3$. Combined, ourresults form the sharpest known bounds on $\zeta(1/2 + it)$ for $t \ge\exp(61)$.

An explicit sub-Weyl bound for $\zeta(1/2 + it)$