Uniform subconvexity bounds for GL(2)× GL(2) L-functions in the spectral aspect

2025/09/07 by Zhao Xu, Xu, Zhao · 1 citation
Mathematics · #Analytic Number Theory Research #Finite Group Theory Research #Advanced Harmonic Analysis Research

paper · pdf · doi:10.48550/arxiv.2509.05968

Abstract

In this paper, we study the second moment for GL(2)× GL(2) L-functions L((1)/(2),f× g), which leads to a uniform subconvexity bound in the spectral aspect. In particular, if either f or g is a dihedral Maass newform, or if one of them has level 1, we obtain a Burgess-type bound that is uniform in both t_f and t_g, where t_f, t_g denote the spectral parameters of f, g. As an application, we also establish a shrinking result for QUE in the case of dihedral Maass newforms.

Citations

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Cited by

• Stationary phase analysis for analytic newvectors and application to subconvexity problems

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