Weyl bound for $\mathrm{GL}(2)$ in $t$-aspect via a trivial delta method

Abstract

We use a `trivial' delta method to prove the Weyl bound in $t$-aspect for the $\mathrm{L}$-function of a holomorphic or a Hecke-Maass cusp form of arbitrary level and nebentypus. In particular, this extends the results of Meurman and Jutila for the $t$-aspect Weyl bound, and the recent result of Booker, Milinovich and Ng to Hecke cusp forms of arbitrary level and nebentypus.

Minor typos corrected