NORMAL BASES FOR MODULAR FUNCTION FIELDS

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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
DOI
10.1017/S0004972716001362
URI
http://hdl.handle.net/10203/223947
Appears in Collection
MA-Journal Papers(저널논문)
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