The average size of Ramanujan sums over cubic number fields

被引：1
|
作者：
Ma, Jing [1 ]
Sun, Huayan [1 ]
Zhai, Wenguang [2 ]
机构：
[1] Jilin Univ, Sch Math, Changchun 130012, Peoples R China
[2] China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China
来源：
PERIODICA MATHEMATICA HUNGARICA | 2023年 / 87卷 / 1期
基金：
中国国家自然科学基金;
关键词：
Ramanujan sum; Cubic field; Exponential sum; FORMULAS;
D O I：
10.1007/s10998-022-00507-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let K be a cubic number field. In this paper, we study the Ramanujan sums c(J) (I) , where I and 9 are integral ideals in O-K. The asymptotic behaviour of sums of c(J) (I) over both I and 9 is investigated.
引用
收藏
页码：215 / 231
页数：17
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