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

DOI10.2748/tmj/1178224850zbMath0943.11049OpenAlexW2002045127MaRDI QIDQ1292765

Hisao Taya

Publication date: 4 September 2000

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

Full work available at URL: https://doi.org/10.2748/tmj/1178224850

zbMATH Keywords

Iwasawa invariantsideal class groupstotally real fieldsLeopoldt's conjecture\(\mathbb{Z}_p\)-extensions\(p\)-adic zeta functions

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23) Totally real fields (11R80)

Related Items (11)

Genus formulas and Greenberg's conjecture ⋮ On Greenberg's generalized conjecture for CM-fields ⋮ \(p\)-adic approach of Greenberg's conjecture for totally real fields ⋮ \(L_p(1,\chi)\bmod p\) ⋮ On Iwasawa 𝜆₃-invariants of cyclic cubic fields of prime conductor ⋮ On tamely ramified pro-p-extensions over -extensions of ⋮ On mirror equalities and certain weak forms of Greenberg's conjecture ⋮ A note on the \(\mathbb Z_p\times\mathbb Z_q\)-extension over \(\mathbb Q\) ⋮ Tate-Shafarevich groups in the cyclotomic \(\hat{\mathbb{Z}} \)-extension and Weber's class number problem ⋮ Algorithmic complexity of Greenberg's conjecture ⋮ On \(p\)-adic \(L\)-functions and \(\mathbb{Z}_p\)-extensions of certain real abelian number fields

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