A note on the zeros of zeta and $L$-functions

Emanuel Carneiro, Vorrapan Chandee, Micah B. Milinovich

Let $\pi S(t)$ denote the argument of the Riemann zeta-function at the point $s=\frac{1}{2}+it$. Assuming the Riemann hypothesis, we give a new and simple proof of the sharpest known bou…