On the iwasawa λ-invariant of the cyclotomic z2-extension of a real quadratic field

Takashi Fukuda, Keiichi Komatsu

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Abstract

    We study the λ-invariant of the cyclotomic Z2-extension of [Math equation] with p ≡ 3 (mod 8), q ≡ 1 (mod 8) and (q/p) = −1. With further conditions on q, we show that λ-invariant is zero.

    Original languageEnglish
    Pages (from-to)259-264
    Number of pages6
    JournalTokyo Journal of Mathematics
    Volume28
    Issue number1
    DOIs
    Publication statusPublished - 2005 Jan 1

    Fingerprint

    Iwasawa Invariants
    Real Quadratic Fields
    Cyclotomic
    Invariant
    Zero

    Keywords

    • Iwasawa invariants

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    On the iwasawa λ-invariant of the cyclotomic z2-extension of a real quadratic field. / Fukuda, Takashi; Komatsu, Keiichi.

    In: Tokyo Journal of Mathematics, Vol. 28, No. 1, 01.01.2005, p. 259-264.

    Research output: Contribution to journalArticle

    Fukuda, Takashi ; Komatsu, Keiichi. / On the iwasawa λ-invariant of the cyclotomic z2-extension of a real quadratic field. In: Tokyo Journal of Mathematics. 2005 ; Vol. 28, No. 1. pp. 259-264.
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