Hybrid subconvexity bounds for twists of $\rm GL(3)$ $L$-functions

Abstract

Let π be a SL(3, Z) Hecke-Maass cusp form and χ a primitive Dirichlet character of prime power conductor q = p k with p prime. In this paper we will prove the following subconvexity boundfor any ε > 0 and t ∈ R.