On \(p\)-adic \(L\)-functions and \(\mathbb{Z}_p\)-extensions of certain real abelian number fields

DOI10.1006/JNTH.1998.2326zbMath0937.11052OpenAlexW2083537140MaRDI QIDQ1283143

Hisao Taya

Publication date: 1 June 1999

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1998.2326

zbMATH Keywords

Iwasawa theory\(p\)-adic \(L\)-functionsGreenberg conjecture\({\mathbb Z} _p \)-extensionstotally real abelian number fields

Mathematics Subject Classification ID

Iwasawa theory (11R23) Zeta functions and (L)-functions (11S40) Other abelian and metabelian extensions (11R20)

Related Items (1)

On \(p\)-adic zeta functions and \(\mathbb{Z}_p\)-extensions of certain totally real number fields

Cites Work

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• Class fields of abelian extensions of \(\mathbb Q\)
• Iwasawa invariants of CM fields
• On \({\mathbb{Z}}_ p\)-extensions of real quadratic fields
• On the \(\lambda\) invariants of \(\mathbb Z_p\)-extensions of real quadratic fields
• Greenberg's conjecture and the Iwasawa polynomial
• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• On the structure of certain Galois groups
• On \(p\)-adic zeta functions and \(\mathbb{Z}_p\)-extensions of certain totally real number fields
• On a normal integral bases problem over cyclotomic \(\mathbb{Z}_p\)-extensions
• On the Iwasawa invariants of certain real abelian fields
• The class group of \(\mathbb{Z}_p\)-extensions over totally real number fields
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• A note on Greenberg's conjecture for real abelian number fields
• ON THE IWASAWA INVARIANTS OF CERTAIN REAL ABELIAN FIELDS II
• On Γ-extensions of algebraic number fields
• On the Iwasawa Invariants of Totally Real Number Fields
• A Note on the Iwasawa .LAMBDA.-Invariants of Real Abelian Number Fields.
• The Iwasawa λ-invariants of ℤₚ-extensions of real quadratic fields
• On cyclotomic ℤ ₚ-extensions of real quadratic fields
• A capitulation problem and Greenberg’s conjecture on real quadratic fields
• On the units of algebraic number fields

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