On minkowski units constructed by special values of siegel modular functions

Takashi Fukuda, Keiichi Komatsu

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    2 Citations (Scopus)

    Abstract

    Using the special values of Siegel modular functions, we construct Minkowski units for the ray class field k6 of ℚ(exp(2πi/5)) modulo 6. Our work is based on investigating the prime decomposition of the special values and describing explicitly the action of the Galois group G(k6/ℚ) for the special values. Futhermore we construct the full unit group of k6 using modular and circular units under the GRH.

    Original languageEnglish
    Pages (from-to)133-140
    Number of pages8
    JournalJournal de Theorie des Nombres de Bordeaux
    Volume15
    Issue number1
    DOIs
    Publication statusPublished - 2003

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    ASJC Scopus subject areas

    • Algebra and Number Theory

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