Bounds for $G{L}_3$ $L$-functions in depth aspect

Qingfeng Sun, Rui Zhao

Let $f$ be a Hecke-Maass cusp form for $S{L}_3(\mathbb{Z})$ and $\chi$ a primitive Dirichlet character of prime power conductor $\mathfrak{q}=p^{\kappa }$ with $p$ prime and $\kappa \ge 10$. We prov…