Class number calculation using Siegel functions

T. Fukuda, Keiichi Komatsu

    研究成果: Article

    抄録

    We propose a fast method of calculating the p-part of the class numbers in certain non-cyclotomic ℤp-extensions of an imaginary quadratic field using elliptic units constructed by Siegel functions. We carried out practical calculations for p=3 and determined λ-invariants of such ℤ3-extensions which were not known in our previous paper.

    元の言語English
    ページ(範囲)295-302
    ページ数8
    ジャーナルLMS Journal of Computation and Mathematics
    17
    発行部数SPEC. ISSUE A
    DOI
    出版物ステータスPublished - 2014

    Fingerprint

    Class number
    Imaginary Quadratic Field
    Unit
    Invariant

    ASJC Scopus subject areas

    • Mathematics(all)
    • Computational Theory and Mathematics

    これを引用

    Class number calculation using Siegel functions. / Fukuda, T.; Komatsu, Keiichi.

    :: LMS Journal of Computation and Mathematics, 巻 17, 番号 SPEC. ISSUE A, 2014, p. 295-302.

    研究成果: Article

    Fukuda, T. ; Komatsu, Keiichi. / Class number calculation using Siegel functions. :: LMS Journal of Computation and Mathematics. 2014 ; 巻 17, 番号 SPEC. ISSUE A. pp. 295-302.
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