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Ichimura-Sumida criterion for Iwasawa \(\lambda\)-invariants

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Publication:1594775
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DOI10.3792/pjaa.76.111zbMath0971.11054OpenAlexW2049189164MaRDI QIDQ1594775

Keiichi Komatsu, Takashi Fukuda

Publication date: 7 February 2001

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.76.111

zbMATH Keywords

cyclic cubic fieldsvanishing of Iwasawa invariantscyclotomic \({\mathbb Z}_p\) extension


Mathematics Subject Classification ID

Units and factorization (11R27) Algebraic number theory computations (11Y40) Iwasawa theory (11R23)


Related Items

On the Iwasawa \(\lambda\)-invariant of the cyclotomic \(\mathbb{Z}_2\)-extension of \(\mathbb{Q}(\sqrt{p})\). III., On the Iwasawa 𝜆-invariants of real abelian fields



Cites Work

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  • \(\ell\)-extensions of CM-fields and cyclotomic invariants
  • UnitĂ©s cyclotomiques, unitĂ©s semilocales et \(\mathbb{Z}_\ell\)-extensions. II
  • Semi-local units modulo cyclotomic units
  • The Iwasawa \(\lambda\)-invariants of real abelian fields and the cyclotomic elements
  • Iwasawa λ3-invariants of certain cubic fields
  • On Iwasawa 𝜆₃-invariants of cyclic cubic fields of prime conductor
  • ON THE IWASAWA INVARIANTS OF CERTAIN REAL ABELIAN FIELDS II
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