On the Iwasawa λ-invariant of the cyclotomic ℤ2-extension of ℚ(√p) II

Takashi Fukuda, Keiichi Komatsu

    Research output: Contribution to journal › Article

    2 Citations (Scopus)

    Abstract

    In the preceding papers, we studied the Iwasawa λ-invariant of the cyclotomic ℤ2-extension of ℚ (√p ) for an odd prime number p using certain units and the invariants n0 (r)and n2. In the present paper, we develop new criteria for Greenberg conjecture using n0 (r)and n2.

    Original languageEnglish
    Pages (from-to)167-179
    Number of pages13
    JournalFunctiones et Approximatio, Commentarii Mathematici
    Volume51
    Issue number1
    DOIs
    Publication statusPublished - 2014 May 1

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    Iwasawa Invariants
    Cyclotomic
    Odd number
    Prime number
    Unit
    Invariant

    Keywords

    • Cyclotomic unit
    • Iwasawa invariant
    • Real quadratic field

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    On the Iwasawa λ-invariant of the cyclotomic ℤ2-extension of ℚ(√p) II. / Fukuda, Takashi; Komatsu, Keiichi.

    In: Functiones et Approximatio, Commentarii Mathematici, Vol. 51, No. 1, 01.05.2014, p. 167-179.

    Research output: Contribution to journal › Article

    Fukuda, T & Komatsu, K 2014, 'On the Iwasawa λ-invariant of the cyclotomic ℤ2-extension of ℚ(√p) II', Functiones et Approximatio, Commentarii Mathematici, vol. 51, no. 1, pp. 167-179. https://doi.org/10.7169/facm/2014.51.1.9
    Fukuda T, Komatsu K. On the Iwasawa λ-invariant of the cyclotomic ℤ2-extension of ℚ(√p) II. Functiones et Approximatio, Commentarii Mathematici. 2014 May 1;51(1):167-179. https://doi.org/10.7169/facm/2014.51.1.9
    Fukuda, Takashi ; Komatsu, Keiichi. / On the Iwasawa λ-invariant of the cyclotomic ℤ2-extension of ℚ(√p) II. In: Functiones et Approximatio, Commentarii Mathematici. 2014 ; Vol. 51, No. 1. pp. 167-179.
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