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

共 50 条

[1] ON GALOIS COHOMOLOGY OF RING OF INTEGERS IN AN ALGEBRAIC NUMBER FIELD
LEE, MP
MADAN, ML
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 20 (02) : 405 - &
[2] NOTE ON GALOIS COHOMOLOGY GROUP OF RING OF INTEGERS IN ALGEBRAIC NUMBER FIELD
YOKOI, H
PROCEEDINGS OF THE JAPAN ACADEMY, 1964, 40 (04): : 245 - &
[3] An analogue of Ramanujan's sum with respect to regular integers (modr)
Haukkanen, Pentti
Toth, Laszlo
RAMANUJAN JOURNAL, 2012, 27 (01): : 71 - 88
[4] An analogue of Ramanujan’s sum with respect to regular integers (modr)
Pentti Haukkanen
László Tóth
The Ramanujan Journal, 2012, 27 : 71 - 88
[5] The étale cohomology ring of the ring of integers of a number field
Eric Ahlqvist
Magnus Carlson
Research in Number Theory, 2023, 9
[6] The etale cohomology ring of the ring of integers of a number field
Ahlqvist, Eric
Carlson, Magnus
RESEARCH IN NUMBER THEORY, 2023, 9 (03)
[7] ON DISCRIMINANTS AND INDEXES OF INTEGERS OF AN ALGEBRAIC NUMBER-FIELD
GYORY, K
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1981, 324 : 114 - 126
[8] THE RING OF INTEGERS OF AN ABELIAN NUMBER-FIELD
LETTL, G
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1990, 404 : 162 - 170
[9] WHICH POLYNOMIALS OVER AN ALGEBRAIC NUMBER FIELD MAP ALGEBRAIC INTEGERS INTO THEMSELVES
LIND, DA
AMERICAN MATHEMATICAL MONTHLY, 1971, 78 (02): : 179 - &
[10] ON THE TRACE OF THE RING OF INTEGERS OF AN ABELIAN NUMBER-FIELD
GIRSTMAIR, K
ACTA ARITHMETICA, 1992, 62 (04) : 383 - 389

← 1 2 3 4 5 →