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 journal › Article

    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

    Fingerprint

    Theta Functions
    Quartic
    Divisor
    Half line
    Modulo
    Algebraic integer
    Unit
    Cyclotomic
    Elliptic function
    Prime Ideal
    Class
    Relationships

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    Prime divisors of special values of theta functions in the ray class field of a certain quartic field modulo 2n . / Fukuda, Takashi; Kanayama, Naoki; Komatsu, Keiichi.

    In: Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 141, No. 1, 07.2006, p. 1-13.

    Research output: Contribution to journal › Article

    Fukuda, T, Kanayama, N & Komatsu, K 2006, 'Prime divisors of special values of theta functions in the ray class field of a certain quartic field modulo 2n ', Mathematical Proceedings of the Cambridge Philosophical Society, vol. 141, no. 1, pp. 1-13. https://doi.org/10.1017/S0305004106009248
    Fukuda T, Kanayama N, Komatsu K. Prime divisors of special values of theta functions in the ray class field of a certain quartic field modulo 2n Mathematical Proceedings of the Cambridge Philosophical Society. 2006 Jul;141(1):1-13. https://doi.org/10.1017/S0305004106009248
    Fukuda, Takashi ; Kanayama, Naoki ; Komatsu, Keiichi. / Prime divisors of special values of theta functions in the ray class field of a certain quartic field modulo 2n In: Mathematical Proceedings of the Cambridge Philosophical Society. 2006 ; Vol. 141, No. 1. pp. 1-13.
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