On the subconvexity problem for $GL(3)\times GL(2)$ $L$-functions

Rizwanur Khan

Fix $g$ a self-dual Hecke-Maass form for $S{L}_3(\mathbb{Z})$. Let $f$ be a holomorphic newform of prime level $q$ and fixed weight. Conditional on a lower bound for a short sum of s…