Computation of ℤ₃-invariants of real quadratic fields

DOI10.1090/S0025-5718-96-00721-1zbMath0851.11062MaRDI QIDQ4878580

Hisao Taya

Publication date: 25 November 1996

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

real quadratic fieldIwasawa invariantcyclotomic \(\mathbb{Z}_ 3\)-extension

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Algebraic number theory computations (11Y40) Iwasawa theory (11R23)

Related Items (5)

Greenberg's conjecture and relative unit groups for real quadratic fields ⋮ Greenberg’s conjecture for real quadratic fields and the cyclotomic ℤ₂-extensions ⋮ On \(p\)-adic zeta-functions associated to the positive topology of algebraic number fields ⋮ On the λ-stability of p-class groups along cyclic p-towers of a number field ⋮ Unnamed Item

Cites Work

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• On the Iwasawa \(\lambda\)-invariants of real quadratic fields
• Iwasawa's \(\lambda\)-invariants of certain real quadratic fields
• On \({\mathbb{Z}}_ p\)-extensions of real quadratic fields
• A remark on the \(\lambda\)-invariant of real quadratic fields
• The determination of units in real cyclic sextic fields
• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• On the Iwasawa Invariants of Totally Real Number Fields

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