The Lindelöf Hypothesis for Zeta Zero Ordinates

Ramūnas Garunkštis, Athanasios Sourmelidis, Jörn Steuding

We provide conditional and unconditional asymptotic formulae for the exponential sums ${\sum }_{\gamma }{\gamma }^{-i\tau }$, where the summation is over the ordinates of the nontrivial zeros $\rho =\beta +i\gamma$…