On efficient computation of the 2-parts of ideal class groups of quadratic fields

被引：2
|
作者：
Basilla, JM [1 ]
Wada, H [1 ]
机构：
[1] Sophia Univ, Dept Math, Chiyoda Ku, Tokyo 1028554, Japan
来源：
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2004年 / 80卷 / 10期
关键词：
ternary quadrartic form; quadratic field; ideal class group; 2-part;
D O I：
10.3792/pjaa.80.191
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We shall show a relation between Gauss' ternary quadratic form and an ideal of a quadratic field. Using this relation, we can compute rapidly the 2-part of ideal class group of a quadratic field in narrow sense and in wide sense.
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页码：191 / 193
页数：3
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