Continued Fractions and the Class Number of Real Quadratic Orders

被引：1

作者：

Kawamoto, Fuminori ^{[1
]}

Kishi, Yasuhiro ^{[2
]}

机构：

[1] Gakushuin Univ, Dept Math, Toshima Ku, Tokyo 1718588, Japan

[2] Aichi Univ Educ, Dept Math, Kariya, Aichi 4488542, Japan

来源：

TOKYO JOURNAL OF MATHEMATICS | 2024年 / 47卷 / 01期

关键词：

Real quadratic fields; Class groups; Continued fractions; SUBFIELD; FIELDS;

D O I：

10.3836/tjm/1502179399

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give a sufficient and necessary condition for a real quadratic order to have class number 1. From this, and by using Lu's results, we obtain families of real quadratic orders with non-trivial class numbers.

引用

页码：245 / 280

页数：36

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