On the 4-rank of ideal class groups of quadratic function fields

被引：2

|

作者：

Bae, Sunghan ^{[1
]}

Jung, Hwanyup ^{[2
]}

机构：

[1] Korea Adv Inst Sci & Technol, Dept Math, Taejon 305701, South Korea

[2] Chungbuk Natl Univ, Dept Math Educ, Chonju 361763, South Korea

来源：

ACTA ARITHMETICA | 2012年 / 151卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

4-ranks of class groups; quadratic function fields; negative Pell equation; HEURISTICS;

D O I：

10.4064/aa151-4-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

收藏

页码：325 / 360

页数：36

相关论文

共 50 条

[1] On the 4-rank of class groups of quadratic number fields
Fouvry, Etienne
Kluners, Jurgen
INVENTIONES MATHEMATICAE, 2007, 167 (03) : 455 - 513
[2] On the 4-rank of class groups of quadratic number fields
Étienne Fouvry
Jürgen Klüners
Inventiones mathematicae, 2007, 167 : 455 - 513
[3] ON THE 4-RANK OF CLASS-GROUPS OF QUADRATIC NUMBER-FIELDS
HALTERKOCH, F
JOURNAL OF NUMBER THEORY, 1984, 19 (02) : 219 - 227
[4] ON DETERMINING THE 4-RANK OF THE IDEAL CLASS GROUP OF A QUADRATIC FIELD
LAGARIAS, JC
JOURNAL OF NUMBER THEORY, 1980, 12 (02) : 191 - 196
[5] ON THE 4-RANK OF THE NARROW IDEAL CLASS GROUP OF A QUADRATIC FIELD
UEHARA, T
JOURNAL OF NUMBER THEORY, 1989, 31 (02) : 167 - 173
[6] The 4-rank of the tame kernel versus the 4-rank of the narrow class group in quadratic number fields
Yue, Q
Feng, KQ
ACTA ARITHMETICA, 2000, 96 (02) : 155 - 165
[7] ON THE 4-RANK OF CLASS GROUPS OF DIRICHLET BIQUADRATIC FIELDS
Fouvry, Etienne
Koymans, Peter
Pagano, Carlo
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 2022, 21 (05) : 1543 - 1570
[8] On the 4-rank of tame kernels of quadratic number fields
Guo, Xuejun
ACTA ARITHMETICA, 2009, 136 (02) : 135 - 149
[9] Ideal Class Groups and Subgroups of Real Quadratic Function Fields
张贤科
王鲲鹏
Tsinghua Science and Technology, 2000, (04) : 372 - 373
[10] Relative norms of units and 4-rank of class groups
Bülow, T
ACTA ARITHMETICA, 2005, 119 (03) : 243 - 264

← 1 2 3 4 5 →