Sub-Weyl bound for $GL(2)$ via trivial delta

Roman Holowinsky, Ritabrata Munshi, Prahlad Sharma +1

For a $SL(2,\mathbb{Z})$ form $f$, we obtain the sub-Weyl bound \begin{equation*} L(1/2+it,f)\ll_{f,\varepsilon} t^{1/3-δ+\varepsilon}, \end{equation*} where $\delta =1/174$, thereby cro…