On class number formula for the real quadratic fields

被引：0

作者：

Sato, H ^{[1
]}

机构：

[1] Sci Univ Tokyo, Dept Math, Grad Sch Sci, Shinjuku Ku, Tokyo 1628601, Japan

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2004年 / 80卷 / 07期

关键词：

class number; real quadratic fields;

D O I：

10.3792/pjaa.80.129

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let k > 1 be the fundamental discriminant, and let chi(n), epsilon and h be the real primitive character modulo k, the fundamental unit and the class number of the real quadratic field Q(rootk), respectively. And let [x] denote the greatest integer not greater than x. In [3], M.-G. Leu showed h=[rootk/(2logepsilon) Sigma(n=1)(k) chi(n)/n]+1 for all k, and h= [rootk/(2logepsilon) Sigma(n=1)([k/2]) chi(n)/n] in the case knot equalm(2)+4 with m is an element of Z.

引用

页码：129 / 130

页数：2