The class number one problem for the non-abelian normal CM-fields of degree 24 and 40

被引：4

作者：

Park, YH ^{[1
]}

机构：

[1] Korea Univ, CIST, Seoul 136701, South Korea

来源：

ACTA ARITHMETICA | 2002年 / 101卷 / 01期

关键词：

CM-field; relative class number; class field theory;

D O I：

10.4064/aa101-1-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：63 / 80

页数：18

共 10 条

[1] The class number one problem for the non-abelian normal CM-fields of degree 16
Louboutin, S
ACTA ARITHMETICA, 1997, 82 (02) : 173 - 196
[2] The class number one problem for some non-abelian normal CM-fields
Louboutin, S
Okazaki, R
Olivier, M
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 349 (09) : 3657 - 3678
[3] The class number one problem for some non-normal sextic CM-fields
Boutteaux, G
Louboutin, S
ANALYTIC NUMBER THEORY, 2002, 6 : 27 - 37
[4] The class number one problem for some non-normal CM-fields of degree 2p
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Boutteaux, Gerard
Kwon, Soun-Hi
Louboutin, Stephane
JOURNAL OF NUMBER THEORY, 2012, 132 (08) : 1793 - 1806
[5] The non-normal quartic CM-fields and the octic dihedral CM-fields with relative class number two
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Kwon, SH
JOURNAL OF NUMBER THEORY, 1999, 79 (02) : 175 - 193
[6] Lower bounds for relative class numbers of imaginary abelian number fields and CM-fields
Louboutin, SR
ACTA ARITHMETICA, 2006, 121 (03) : 199 - 220
[7] NONABELIAN NORMAL CM-FIELDS OF DEGREE 2pq
Kwon, S. -H.
Louboutin, S.
Park, S. -M.
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2009, 87 (01) : 129 - 144
[8] Class number problems for dicyclic CM-fields
Louboutin, S
Park, YH
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2000, 57 (3-4): : 283 - 295
[9] Class numbers of CM-fields with solvable normal closure
Murty, VK
COMPOSITIO MATHEMATICA, 2001, 127 (03) : 273 - 287
[10] Non-normal class number one problem and the least prime power-residue
Okazaki, R
NUMBER THEORY AND ITS APPLICATIONS, 1999, 2 : 273 - 289

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