NORMAL BASES FOR MODULAR FUNCTION FIELDS
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.
- Publisher
- CAMBRIDGE UNIV PRESS
- Issue Date
- 2017-06
- Language
- English
- Article Type
- Article
- Keywords
ELLIPTIC FUNCTIONS
- Citation
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, v.95, no.3, pp.384 - 392
- ISSN
- 0004-9727
- Appears in Collection
- MA-Journal Papers(저널논문)
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