On the Iwasawa Invariants of Totally Real Number Fields
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Publication:4099720
DOI10.2307/2373625zbMath0334.12013OpenAlexW2075659800MaRDI QIDQ4099720
Publication date: 1976
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2373625
Class field theory (11R37) Iwasawa theory (11R23) Class field theory; (p)-adic formal groups (11S31)
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Notes on the module of Euler systems for $p$-adic representations ⋮ SUR LA CONJECTURE FAIBLE DE GREENBERG DANS LE CAS ABÉLIEN p-DÉCOMPOSÉ ⋮ CONOYAUX DE CAPITULATION ET MODULES D'IWASAWA ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Computation of Iwasawa lambda invariants for imaginary quadratic fields ⋮ Unnamed Item ⋮ On some arithmetic properties of Siegel functions (II) ⋮ Greenberg’s conjecture for real quadratic fields and the cyclotomic ℤ₂-extensions ⋮ A generalized Iwasawa's theorem and its application ⋮ Finite submodules of Iwasawa modules for multi-variable extensions ⋮ On the λ-stability of p-class groups along cyclic p-towers of a number field ⋮ On metabelian 2-class field towers over -extensions of real quadratic fields ⋮ The structure of the unramified abelian Iwasawa module of some number fields ⋮ Structure of 2-class groups in the \(\mathbb{Z}_2\)-extensions of certain real quadratic fields ⋮ Unnamed Item ⋮ The Chevalley-Herbrand formula and the real abelian Main Conjecture (new criterion using capitulation of the class group) ⋮ A capitulation problem and Greenberg’s conjecture on real quadratic fields ⋮ Computation of ℤ₃-invariants of real quadratic fields ⋮ Cyclotomic units and Greenberg’s conjecture for real quadratic fields ⋮ Heuristics and conjectures in the direction of a $p$-adic Brauer–Siegel Theorem ⋮ On Iwasawa 𝜆₃-invariants of cyclic cubic fields of prime conductor ⋮ Normes universelles et conjecture de Greenberg ⋮ Iwasawa invariants ⋮ On capitulation in certain Z l ‐extensions of number fields ⋮ Cyclic Galois Extensions and Normal Bases ⋮ On Small Iwasawa Invariants and Imaginary Quadratic Fields ⋮ On tamely ramified pro-p-extensions over -extensions of ⋮ A note on Greenberg’s conjecture and the abc conjecture ⋮ On capitulation of \(S\)-ideals in \(\mathbb{Z}_p\) ⋮ On a quotient of the unramified Iwasawa module over an abelian number field ⋮ Circular distributions and Euler systems ⋮ On unramified Galois $2$-groups over $\mathbb Z_2$-extensions of real quadratic fields ⋮ Formules de classes pour les corps abéliens réels. (Class formulae for real Abelian fields) ⋮ Greenberg's conjecture for Dirichlet characters of order divisible by \(p\). ⋮ Onp-adicL-functions and cyclotomic fields. II ⋮ Note on cyclotomic units and Gauss sums in local cyclotomic fields ⋮ Note on the ring of integers of a Kummer extension of prime degree. 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