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Generation of Hauptmoduln of Gamma(1)(N) by Weierstrass units and application to class fields
- Title
- Generation of Hauptmoduln of Gamma(1)(N) by Weierstrass units and application to class fields
- Author
- 김창헌
- Keywords
- Modular curve; Modular function; Class field
- Issue Date
- 2011-12
- Publisher
- Versita
- Citation
- Central European Journal of Mathematics, 2011, 9(6), P.1389-1402
- Abstract
- We show that the modular functions j 1,N generate function fields of the modular curve X 1(N), N ∈ {7; 8; 9; 10; 12}, and apply them to construct ray class fields over imaginary quadratic fields.
- URI
- https://link.springer.com/article/10.2478/s11533-011-0080-5http://hdl.handle.net/20.500.11754/66782
- ISSN
- 1895-1074
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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