A Tsang-range high-moment bound for $\mathrm{Im}\log L(\frac{1}{2}+it,\ddot{I}‡)$ under GRH

Scott D. Hughes

Conditional on the Generalized Riemann Hypothesis for $L(s,\ddot{I}‡)$, we prove the Selberg--Tsang high-moment bound for $X_{\ddot{I}}‡(t)=\mathrm{Im}\log L(\frac{1}{2}+it,\ddot{I}‡)$ at fixed squa…