Second Moment of Degree Three L-Functions

Article Type

Research Article

Publication Title

International Mathematics Research Notices

Abstract

Let be a Hecke-Maaß cusp form for. We obtain the first non-trivial upper bound of the second moment of in -aspect: Immediate corollaries include improvements over the existing results on the subconvexity bound for self-dual -functions in the -aspect and for self-dual -functions in the spectral aspect, the error term in the Rankin-Selberg problem, and the zero density estimate for -functions.

DOI

10.1093/imrn/rnaf234

Publication Date

8-1-2025

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