Burgess-like subconvex bounds for $G{L}_2\times G{L}_1$

Han Wu

We give a Burgess-like subconvex bound for $L(s,\pi \otimes \chi )$ in terms of the analytical conductor of $\chi$, where $\pi$ is a $G{L}_2$ cuspidal representation and $\chi$ is a Hecke characte…