Hybrid subconvexity bounds for twisted $L$-functions on $GL(3)$

Bingrong Huang

Let $q$ be a large prime, and $\chi$ the quadratic character modulo $q$. Let $\varphi$ be a self-dual Hecke--Maass cusp form for $SL(3,\mathbb{Z})$, and $u_j$ a Hecke--Maass cusp form for $…