Ramanujan's sum in the ring of integers of an algebraic number field

被引：2
|
作者：
Wang, Yujie [1 ]
Ji, Chungang [2 ]
机构：
[1] Anhui Normal Univ, Sch Math & Stat, Wuhu 241003, Peoples R China
[2] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China
来源：
INTERNATIONAL JOURNAL OF NUMBER THEORY | 2020年 / 16卷 / 01期
关键词：
Arithmetical sums; Ramanujan's sum; the ring of integers; EXTENSION;
D O I：
10.1142/S1793042120500037
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we generalize Ramanujan's sum to the ring of integers of an algebraic number field. We also obtain the orthogonality properties of Ramanujan's sum in the ring of integers.
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页码：65 / 76
页数：12
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