Construction of a normal basis by special values of Siegel modular functions
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- by Keiichi Komatsu PDF
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Abstract:
We consider certain abelian extensions $K,k_1$ of $Q(e^{2\pi i/5})$ and show by a method of Shimura that a normal basis of $K$ over $k_1$ can be given by special values of Siegel modular functions.References
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Additional Information
- Keiichi Komatsu
- Affiliation: Department of Information and Computer Science, School of Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku, Tokyo 169, Japan
- Received by editor(s): June 20, 1997
- Published electronically: September 27, 1999
- Communicated by: David E. Rohrlich
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 315-323
- MSC (2000): Primary 11G15, 11R27, 11Y40
- DOI: https://doi.org/10.1090/S0002-9939-99-05601-4
- MathSciNet review: 1707153