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.
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页码：384 / 392
页数：9
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