On the class number of certain imaginary quadratic fields

被引：13

作者：

Cohn, JHE ^{[1
]}

机构：

[1] Royal Holloway Univ London, Dept Math, Egham TW20 0EX, Surrey, England

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 130卷 / 05期

关键词：

D O I：

10.1090/S0002-9939-01-06255-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Theorem. Let n > 2 denote an integer, D the square-free part of 2(n) = 1 and h the class number of the field Q[root-D]. Then except for the case n = 6, n 2 divides h.

引用

页码：1275 / 1277

页数：3

共 50 条

[31] RELATIVE IMAGINARY QUADRATIC FIELDS OF CLASS NUMBER 1 OR 2
GOLDSTEIN, LI
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 165 (MAR) : 353 - +
[32] Partitions associated to class groups of imaginary quadratic number fields
Petersen, Kathleen L.
Sellers, James A.
AEQUATIONES MATHEMATICAE, 2023, 97 (01) : 63 - 74
[33] CLASS NUMBER FORMULAS FOR IMAGINARY QUADRATIC FIELDS .2.
DAVIS, RW
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1978, 299 : 247 - 255
[34] Imaginary quadratic number fields with class groups of small exponent
Elsenhans, Andreas-Stephan
Kluners, Jurgen
Nicolae, Florin
ACTA ARITHMETICA, 2020, 193 (03) : 217 - 233
[35] Ono invariants of imaginary quadratic fields with class number three
Gu, Haihua
Gu, Dawu
Liu, Ya
JOURNAL OF NUMBER THEORY, 2007, 127 (02) : 262 - 271
[36] NOTE ON THE DIVISIBILITY OF THE CLASS NUMBER OF CERTAIN IMAGINARY QUADRATIC FIELDS (vol 51, pg 187, 2009)
Kishi, Yasuhiro
GLASGOW MATHEMATICAL JOURNAL, 2010, 52 : 207 - 208
[37] On certain real quadratic fields with class number one
Karaali, F
Iscan, H
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2000, 76 (08) : 121 - 122
[38] REPRESENTATIONS OF TERNARY QUADRATIC-FORMS AND THE CLASS NUMBER OF IMAGINARY QUADRATIC FIELDS
SHEMANSKE, TR
PACIFIC JOURNAL OF MATHEMATICS, 1986, 122 (01) : 223 - 250
[39] A certain eta-quotient and the class number of an imaginary quadratic field
Ogasawara, Takeshi
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2014, 10 (06) : 1485 - 1499
[40] THE RELATIVE CLASS NUMBER OF CERTAIN IMAGINARY ABELIAN-FIELDS
ENDO, A
ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 1988, 58 : 237 - 243

← 1 2 3 4 5 →