On Iwasawa λ3-invariants of cyclic cubic fields of prime conductor

Takashi Fukuda, Keiichi Komatsu

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    Abstract

    For certain cyclic cubic fields k, we verified that Iwasawa invariants λ3(k) vanished by calculating units of abelian number field of degree 27. Our method is based on the explicit representation of a system of cyclotomic units of those fields.

    Original languageEnglish
    Pages (from-to)1707-1712
    Number of pages6
    JournalMathematics of Computation
    Volume70
    Issue number236
    DOIs
    Publication statusPublished - 2001 Oct

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    Keywords

    • Cubic field
    • Cyclotomic unit
    • Iwasawa invariant

    ASJC Scopus subject areas

    • Algebra and Number Theory
    • Applied Mathematics
    • Computational Mathematics

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