Hybrid Weyl-type bound for $p$-power twisted $\mathrm{GL}(2)$ $L$-functions

Zhengxiao Gao, Shu Luo, Zhi Qi

Let $g$ be a fixed holomorphic cusp form of arbitrary level and nebentypus. Let $\ddot{I}‡$ be a primitive character of prime-power modulus $q=p^3$. In this paper, we prove the followi…