Hybrid Weyl Subconvexity over Imaginary Quadratic Fields

2026/08/06 by Zhengxiao Gao, Changlin Li, Zhi Qi
Mathematics · #math.NT #msc:11F66

paper · pdf

20 pages

arxiv created 2026/08/06 · arxiv updated 2026/08/07

Abstract

On imaginary quadratic fields, we establish the GL₂ Bessel δ-method and prove the hybrid Weyl-type subconvexity bound for GL₂ × GL₁ twisted L-functions in the Archimedean aspect of the Hecke character on GL₁.

Citations

• Relative Trace Formula and Twisted L-functions: the Burgess Bound
• A Bessel delta-method and exponential sums for GL(2)
• Subconvexity for modular form L-functions in the t aspect
• Theory of Fundamental Bessel Functions of High Rank
• The square mean of Dirichlet series associated with cusp forms
• Sur certains groupes d'opérateurs unitaires