On the Iwasawa invariants of certain real abelian fields

DOI10.2748/tmj/1178225147zbMath0886.11060OpenAlexW1995764614MaRDI QIDQ1365340

Humio Ichimura, Hiroki Sumida-Takahashi

Publication date: 23 April 1998

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225147

zbMATH Keywords

Iwasawa invariantsquadratic fieldsGreenberg's conjectureabelian fields

Mathematics Subject Classification ID

Quadratic extensions (11R11) Iwasawa theory (11R23) Other abelian and metabelian extensions (11R20)

Related Items

On the ring of \(p\)-integers of a cyclic \(p\)-extension over a number field ⋮ Biographical Sketch of Professor Humio Ichimura ⋮ On the Iwasawa \(\lambda_2\)-invariants of certain families of real quadratic fields ⋮ Local units modulo Gauss sums ⋮ \(p\)-adic approach of Greenberg's conjecture for totally real fields ⋮ Computation of the Iwasawa invariants of certain real abelian fields. ⋮ On Greenberg's conjecture on a certain real quadratic field ⋮ On capitulation of \(S\)-ideals in \(\mathbb{Z}_p\) ⋮ Note on cyclotomic units and Gauss sums in local cyclotomic fields ⋮ On \(p\)-adic \(L\)-functions and \(\mathbb{Z}_p\)-extensions of certain real abelian number fields ⋮ On \(p\)-adic zeta functions and \(\mathbb{Z}_p\)-extensions of certain totally real number fields ⋮ On a power integral bases problem over cyclotomic \(\mathbb{Z}_p\)-extensions ⋮ On a normal integral basis problem over cyclotomic \(Z_{p}\)-extensions. II.

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