Lower Bounds for Moments of Quadratic Twisted Self-dual GL(3)Central L-values

作     者：Sheng Hao HUA Bing Rong HUANG Sheng Hao HUA;Bing Rong HUANG

作者机构：Data Science Institute and School of MathematicsShandong UniversityJi’nan 250100P.R.China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报(英文版))

年 卷 期：2023年第39卷第11期

页      面：2139-2148页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：National Key R&D Program of China(Grant No.2021YFA1000700) NSFC(Grant Nos.12001314 and 12031008) 

主　　题：GL(3)cusp form lower bound quadratic twist central value L-function 

摘      要：In this paper,we prove the conjectured order lower bound for the k-th moment of central values of quadratic twisted self-dual GL(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.