On some properties of partial quotients of the continued fraction expansion of √d with even period

被引：0

作者：

Kawamoto, Fuminori ^{[1
]}

Kishi, Yasuhiro ^{[2
]}

Tomita, Koshi ^{[3
]}

机构：

[1] Gakushuin Univ, Toshima Ku, 1-5-1 Mejiro, Tokyo 1718588, Japan

[2] Aichi Univ Educ, 1 Hirosawa Igaya Cho, Kariya, Aichi 4488542, Japan

[3] Meijo Univ, Tenpaku Ku, 1-501 Shiogamaguchi, Nagoya, Aichi 4688502, Japan

来源：

ARCHIV DER MATHEMATIK | 2020年 / 114卷 / 06期

基金：

日本学术振兴会;

关键词：

Continued fractions; Real quadratic fields; Class numbers; REAL QUADRATIC FIELDS;

D O I：

10.1007/s00013-020-01434-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let d be a non-square positive integer such that the period of the continued fraction expansion of root d is even. We give some relations between some properties of partial quotients of the continued fraction expansion of root d, which emerge from numerical experiments.

引用

页码：649 / 660

页数：12

共 9 条

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Kawamoto, Fuminori
Tomita, Koshi
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