GENERATION OF CLASS FIELDS BY SIEGEL-RAMACHANDRA INVARIANTS

被引：0

作者：

Shin, Dong Hwa ^{[1
]}

机构：

[1] Hankuk Univ Foreign Studies, Dept Math, Yongin 449791, South Korea

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2015年 / 52卷 / 05期

关键词：

class field theory; complex multiplication; class numbers; elliptic and modular units; modular and automorphic functions; CLASS-NUMBER;

D O I：

10.4134/JKMS.2015.52.5.907

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show in many cases that the Siegel-Ramachandra invariants generate the ray class fields over imaginary quadratic fields. As its application we revisit the class number one problem done by Heegner and Stark, and present a new proof by making use of inequality argument together with Shimura's reciprocity law.

引用

页码：907 / 928

页数：22

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