Noncyclotomic ℤp-extensions of imaginary quadratic fields

Takashi Fukuda, Keiichi Komatsu

    Research output: Contribution to journalArticle

    7 Citations (Scopus)

    Abstract

    Let p be an odd prime number which splits into two distinct primes in an imaginary quadratic field K. Then K has certain kinds of noncyclotomic ℤp-extensions which are constructed through ray class fields with respect to a prime ideal lying above p. We try to show that Iwasawa invariants μ and λ both vanish for these specfic noncyclotomic ℤp-extensions.

    Original languageEnglish
    Pages (from-to)469-476
    Number of pages8
    JournalExperimental Mathematics
    Volume11
    Issue number4
    Publication statusPublished - 2002

    Fingerprint

    Imaginary Quadratic Field
    Iwasawa Invariants
    Odd number
    Prime Ideal
    Prime number
    Half line
    Vanish
    Distinct
    Class

    Keywords

    • Computation
    • Iwasawa invariants
    • Siegel function

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    Noncyclotomic ℤp-extensions of imaginary quadratic fields. / Fukuda, Takashi; Komatsu, Keiichi.

    In: Experimental Mathematics, Vol. 11, No. 4, 2002, p. 469-476.

    Research output: Contribution to journalArticle

    Fukuda, T & Komatsu, K 2002, 'Noncyclotomic ℤp-extensions of imaginary quadratic fields', Experimental Mathematics, vol. 11, no. 4, pp. 469-476.
    Fukuda, Takashi ; Komatsu, Keiichi. / Noncyclotomic ℤp-extensions of imaginary quadratic fields. In: Experimental Mathematics. 2002 ; Vol. 11, No. 4. pp. 469-476.
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