Primitive generators of certain class fields

被引：2

作者：

Eum, Ick Sun ^{[1
]}

Koo, Ja Kyung ^{[1
]}

Shin, Dong Hwa ^{[2
]}

机构：

[1] Korea Adv Inst Sci & Technol, Dept Math Sci, Taejon 305701, South Korea

[2] Hankuk Univ Foreign Studies, Dept Math, Yongin 449791, Gyeonggi Do, South Korea

来源：

JOURNAL OF NUMBER THEORY | 2015年 / 155卷

关键词：

Class field theory; Modular functions;

D O I：

10.1016/j.jnt.2015.03.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We find primitive generators of certain class fields of imaginary quadratic fields as real algebraic integers which arise from the study of some quadratic Diophantine equations. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：46 / 62

页数：17

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[47] On the structure of the Iwasawa module for Z2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb{Z}_{2}$$\end{document}-extensions of certain real biquadratic fields [J].

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