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.

引用

下载

页码：65 / 76

页数：12

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