Let K_(3) be a non-normal cubic extension over Q.In 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 i...Let K_(3) be a non-normal cubic extension over Q.In 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 [Front.Math.China,2020,15(1):57-67].展开更多
基金Supported in part by NSFC (Nos.12401011,12201214)National Key Research and Development Program of China (No.2021YFA1000700)+3 种基金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。
文摘Let K_(3) be a non-normal cubic extension over Q.In 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 [Front.Math.China,2020,15(1):57-67].
