NORMAL BASES FOR MODULAR FUNCTION FIELDS

被引：1

作者：

Koo, Ja Kyung ^{[1
]}

Shin, Dong Hwa ^{[2
]}

Yoon, Dong Sung ^{[1
]}

机构：

[1] Korea Adv Inst Sci & Technol, Dept Math Sci, Daejeon 34141, South Korea

[2] Hankuk Univ Foreign Studies, Dept Math, Yongin 17035, Gyeonggi Do, South Korea

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2017年 / 95卷 / 03期

关键词：

modular functions; modular units; normal bases; ELLIPTIC FUNCTIONS;

D O I：

10.1017/S0004972716001362

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide a concrete example of a normal basis for a finite Galois extension which is not abelian. More precisely, let C(X(N)) be the field of meromorphic functions on the modular curve X(N) of level N. We construct a completely free element in the extension C(X(N))/C(X(1)) by means of Siegel functions.

引用

页码：384 / 392

页数：9

共 45 条

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