Subconvexity for $GL(1)$ twists of Rankin-Selberg $L$-functions

Aritra Ghosh

Let $f$ and $g$ be two holomorphic or Hecke-Maass primitive cusp forms for $SL(2,\mathbb{Z})$ and $\ddot{I}‡$ be a primitive Dirichlet character of modulus $p$, an odd prime. A subconvex…