NORMAL BASES FOR MODULAR FUNCTION FIELDS

作者：Koo Ja Kyung; Shin Dong Hwa; Yoon Dong Sung^*

来源：Bulletin of the Australian Mathematical Society, 2017, 95(3): 384-392.

DOI：10.1017/S0004972716001362

• modular functions
• modular units
• normal bases

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.

• 出版日期2017-6