Explicit Burgess-like subconvex bounds for ${\mathrm{GL}}_2\times {\mathrm{GL}}_1$

Wu Han

We make the polynomial dependence on the fixed representation $\pi$ in our previous subconvex bound of $L(1/2,\pi \otimes \chi )$ for ${\mathrm{GL}}_2\times {\mathrm{GL}}_1$ explicit, especial…