Weber's class number problem in the cyclotomic ℤ2-extension of ℚ

Takashi Fukuda, Keiichi Komatsu

    Research output: Contribution to journal › Article

    11 Citations (Scopus)

    Abstract

    Let hn denote the class number of ℚ(2cos(27π/2 n+2)). Weber proved that hn is odd for all n ≥ 1. We claim that if I is a prime number less than 107, then for all n≥ 1, ℓ does not divide hn.

    Original languageEnglish
    Pages (from-to)213-222
    Number of pages10
    JournalExperimental Mathematics
    Volume18
    Issue number2
    Publication statusPublished - 2009

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    Cyclotomic
    Class number
    Prime number
    Divides
    Odd
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    Keywords

    • Class number
    • Computation

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    Weber's class number problem in the cyclotomic ℤ2-extension of ℚ. / Fukuda, Takashi; Komatsu, Keiichi.

    In: Experimental Mathematics, Vol. 18, No. 2, 2009, p. 213-222.

    Research output: Contribution to journal › Article

    Fukuda, T & Komatsu, K 2009, 'Weber's class number problem in the cyclotomic ℤ2-extension of ℚ', Experimental Mathematics, vol. 18, no. 2, pp. 213-222.
    Fukuda T, Komatsu K. Weber's class number problem in the cyclotomic ℤ2-extension of ℚ. Experimental Mathematics. 2009;18(2):213-222.
    Fukuda, Takashi ; Komatsu, Keiichi. / Weber's class number problem in the cyclotomic ℤ2-extension of ℚ. In: Experimental Mathematics. 2009 ; Vol. 18, No. 2. pp. 213-222.
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