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

Takashi Fukuda, Keiichi Komatsu

    Research output: Contribution to journal › Article

    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 journal › Article

    Fukuda, T & Komatsu, K 2005, 'On the iwasawa λ-invariant of the cyclotomic z2-extension of a real quadratic field', Tokyo Journal of Mathematics, vol. 28, no. 1, pp. 259-264. https://doi.org/10.3836/tjm/1244208291
    Fukuda T, Komatsu K. On the iwasawa λ-invariant of the cyclotomic z2-extension of a real quadratic field. Tokyo Journal of Mathematics. 2005 Jan 1;28(1):259-264. https://doi.org/10.3836/tjm/1244208291
    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.
    @article{de757205b4c94d1d8f337e0065877ec3,
    title = "On the iwasawa λ-invariant of the cyclotomic z2-extension of a real quadratic field",
    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.",
    keywords = "Iwasawa invariants",
    author = "Takashi Fukuda and Keiichi Komatsu",
    year = "2005",
    month = "1",
    day = "1",
    doi = "10.3836/tjm/1244208291",
    language = "English",
    volume = "28",
    pages = "259--264",
    journal = "Tokyo Journal of Mathematics",
    issn = "0387-3870",
    publisher = "Publication Committee for the Tokyo Journal of Mathematics",
    number = "1",

    }

    TY - JOUR

    T1 - On the iwasawa λ-invariant of the cyclotomic z2-extension of a real quadratic field

    AU - Fukuda, Takashi

    AU - Komatsu, Keiichi

    PY - 2005/1/1

    Y1 - 2005/1/1

    N2 - 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.

    AB - 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.

    KW - Iwasawa invariants

    UR - http://www.scopus.com/inward/record.url?scp=67749132504&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=67749132504&partnerID=8YFLogxK

    U2 - 10.3836/tjm/1244208291

    DO - 10.3836/tjm/1244208291

    M3 - Article

    AN - SCOPUS:67749132504

    VL - 28

    SP - 259

    EP - 264

    JO - Tokyo Journal of Mathematics

    JF - Tokyo Journal of Mathematics

    SN - 0387-3870

    IS - 1

    ER -

    Access to Document