A relative class number formula for an imaginary abelian number field by means of Dedekind sum

被引：3

作者：

Hirabayashi, M ^{[1
]}

机构：

[1] Kanazawa Inst Technol, Nonoichi, Ishikawa 9218501, Japan

来源：

MANUSCRIPTA MATHEMATICA | 2002年 / 109卷 / 02期

关键词：

Number Field; Class Number; Relative Class; Number Formula; Class Number Formula;

D O I：

10.1007/s00229-002-0304-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a relative class number formula for an imaginary abelian number field by means of some "Dedekind sum". This is a generalization of Carlitz and Olson's formula presented in 1955.

引用

页码：223 / 227

页数：5

共 50 条

[1] A relative class number formula for an imaginary abelian number field by means of Dedekind sum
Mikihito Hirabayashi
manuscripta mathematica, 2002, 109 : 223 - 227
[2] Dedekind sums and class numbers of imaginary abelian number fields
S. R. Louboutin
Acta Mathematica Hungarica, 2023, 170 : 704 - 708
[3] Dedekind sums and class numbers of imaginary abelian number fields
Louboutin, S. R.
ACTA MATHEMATICA HUNGARICA, 2023, 170 (2) : 704 - 708
[4] Inkeri‚s determinant for an imaginary abelian number field
M. Hirabayashi
Archiv der Mathematik, 2002, 79 : 175 - 181
[5] Inkeri's determinant for an imaginary abelian number field
Hirabayashi, M
ARCHIV DER MATHEMATIK, 2002, 79 (03) : 175 - 181
[6] THE DETERMINATION OF THE IMAGINARY ABELIAN NUMBER-FIELDS WITH CLASS NUMBER ONE
YAMAMURA, K
MATHEMATICS OF COMPUTATION, 1994, 62 (206) : 899 - 921
[7] On the parity of the class number of an imaginary abelian field of conductor 2apb
Humio Ichimura
Archiv der Mathematik, 2011, 96 : 555 - 563
[8] On the parity of the class number of an imaginary abelian field of conductor 2apb
Ichimura, Humio
ARCHIV DER MATHEMATIK, 2011, 96 (06) : 555 - 563
[9] SUPERSINGULAR ABELIAN SURFACES AND EICHLER'S CLASS NUMBER FORMULA
Xue, Jiangwei
Yang, Tse-Chung
Yu, Chia-Fu
ASIAN JOURNAL OF MATHEMATICS, 2019, 23 (04) : 651 - 680
[10] On the class number of a real abelian field of prime conductor
Ichimura, Humio
ACTA ARITHMETICA, 2021, 199 (02) : 145 - 152

← 1 2 3 4 5 →