Lower bounds for moments of quadratic twisted self-dual \textrmGL(3) central L-values

2022/01/01 by Shenghao Hua, Bingrong Huang, Hua, Shenghao +1 · 2 citations
Mathematics · #Advanced Algebra and Geometry #Analytic Number Theory Research #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2201.00120

openalex publication_date 2022/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove the conjectured order lower bound for the k-th moment of central values of quadratic twisted self-dual \textrmGL(3) L-functions for all k≥ 1, based on our recent work on the twisted first moment of central values in this family of L-functions.

Cited by

• Decorrelation of SO(5)× SO(2) Bessel periods for symmetric cubes of GL(2)
• Selberg orthogonality for half-integral weight modular forms

Related

• Determination of \textrmGL(3) cusp forms by central values of quadratic twisted L-functions
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• Twisted first moment of central values of primitive quadratic Dirichlet L-functions