摘要
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].
令K_(3)是一个Q的非正规的三次扩张.本文考虑戴德金zeta函数系数a_(K_(3))(n)在表两平方数求和序列上如下类型的高阶均值■其中l≥9是一个任意固定的正整数,推广了[Front.Math.China,2020,15(1):57-67]的结论.
作者
HUA Guodong
华国栋(渭南师范学院数学与统计学院,陕西渭南714099;山东大学数学学院,山东济南250100)
出处
《数学进展》
CSCD
北大核心
2024年第6期1188-1198,共11页
Advances in Mathematics（China）
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。
