Hybrid Weyl Subconvexity over Imaginary Quadratic Fields

Abstract

On imaginary quadratic fields, we establish the ${\mathrm{GL}}_2$ Bessel $\delta$-method and prove the hybrid Weyl-type subconvexity bound for ${\mathrm{GL}}_2\times {\mathrm{GL}}_1$ twisted $L$-functions in the Archimedean aspect of the Hecke character on ${\mathrm{GL}}_1$.

20 pages