Class number calculation using Siegel functions

T. Fukuda, Keiichi Komatsu

    Research output: Contribution to journalArticle

    Abstract

    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.

    Original languageEnglish
    Pages (from-to)295-302
    Number of pages8
    JournalLMS Journal of Computation and Mathematics
    Volume17
    Issue numberSPEC. ISSUE A
    DOIs
    Publication statusPublished - 2014

    ASJC Scopus subject areas

    • Mathematics(all)
    • Computational Theory and Mathematics

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