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

Abstract

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 character.

to appear in Geometric and Functional Analysis

References in corpus (2)

• The subconvexity problem for $\GL_{2}$
• Twisted L-functions over number fields and Hilbert's eleventh problem

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• A Note on Spectral Analysis in Automorphic Representation Theory for ${\mathrm{GL}}_2$: II
• Hybrid Weyl-type bound for $p$-power twisted $\mathrm{GL}(2)$ $L$-functions