On the Higher Moments of Coefficients Attached to Dedekind Zeta Function

作     者：HUA Guodong 华国栋

作者机构：School of Mathematics and StatisticsWeinan Normal UniversityWeinanShaanci714099P.R.China School of MathematicsShandong UniversityJinanShandong250100P.R.China 

出 版 物：《数学进展》 (Advances in Mathematics（China）)

年 卷 期：2024年第53卷第6期

页      面：1188-1198页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported in part by NSFC (Nos.12401011,12201214) National Key Research and Development Program of China (No.2021YFA1000700) Natural Science Basic Research Program of Shaanxi (Nos.2023-JC-QN-0024,2023-JC-YB-077) Foundation of Shaanxi Educational Committee (No.2023-JCYB-013) Shaanxi Fundamental Science Research Project for Mathematics and Physics (Nos.23JSQ053,22JSQ010) Scientific Research Foundation of WNU 

主　　题：non-normal cubic field Dedekind zeta function Rankin-Selberg L-function 

摘      要：Let K_(3) be a non-normal cubic extension over *** this paper,we investigate the higher moments of the coefficients a_(K_(3))(n) of Dedekind zeta function over sum of two squares of the following types■ where l≥9 is any fixed positive integer,which generalizes the results in [***,2020,15(1):57-67].