Prime divisors of special values of theta functions in the ray class field of a certain quartic field modulo 2n

Takashi Fukuda, Naoki Kanayama, Keiichi Komatsu

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    Abstract

    We construct certain algebraic integers αn as special values of two variable theta functions in the ray class field of a certain quartic field modulo 2n, and study a property of prime ideals which appear in αn in connection to the relationships between cyclotomic units and exponential functions and between elliptic units and elliptic theta functions.

    Original languageEnglish
    Pages (from-to)1-13
    Number of pages13
    JournalMathematical Proceedings of the Cambridge Philosophical Society
    Volume141
    Issue number1
    DOIs
    Publication statusPublished - 2006 Jul

    ASJC Scopus subject areas

    • Mathematics(all)

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