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

Takashi Fukuda, Keiichi Komatsu

    Research output: Contribution to journalArticle

    12 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

    Keywords

    • Class number
    • Computation

    ASJC Scopus subject areas

    • Mathematics(all)

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