### Abstract

We consider certain abelian extensions K, k_{1} of Q(e_{2πi/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.

Original language | English |
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Pages (from-to) | 315-323 |

Number of pages | 9 |

Journal | Proceedings of the American Mathematical Society |

Volume | 128 |

Issue number | 2 |

Publication status | Published - 2000 |

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

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## Cite this

Komatsu, K. (2000). Construction of a normal basis by special values of siegel modular functions.

*Proceedings of the American Mathematical Society*,*128*(2), 315-323.