On the Iwasawa $\lambda $-invariant of the cyclotomic $\mathbb {Z}_2$-extension of $\mathbb {Q}(\sqrt {p} )$
From MaRDI portal
Publication:3055172
DOI10.1090/S0025-5718-09-02124-3zbMath1215.11106OpenAlexW1613745542MaRDI QIDQ3055172
Takashi Fukuda, Keiichi Komatsu
Publication date: 7 November 2010
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-09-02124-3
Related Items
Greenberg’s conjecture for real quadratic fields and the cyclotomic ℤ₂-extensions, On the class semigroup of \(\mathbb{Z}_S\)-fields and Iwasawa invariants, On the Iwasawa \(\lambda\)-invariant of the cyclotomic \(\mathbb{Z}_2\)-extension of \(\mathbb{Q}(\sqrt{p})\). II, On the Iwasawa \(\lambda\)-invariant of the cyclotomic \(\mathbb{Z}_2\)-extension of \(\mathbb{Q}(\sqrt{p})\). III.
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On \({\mathbb{Z}}_ p\)-extensions of real quadratic fields
- The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
- Riemann-Hurwitz formula and p-adic Galois representations for number fields
- Cyclotomic Z//2-extensions of J-fields
- On the structure of certain Galois groups
- On the Iwasawa \(\lambda_2\)-invariants of certain families of real quadratic fields
- On Iwasawa \(\lambda_p\)-invariants of relative real cyclic extensions of degree \(p\)
- On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
- On the Iwasawa invariants of \(\mathbb Z_2\)-extensions of certain real quadratic fields
- On the Iwasawa \(\lambda\)-invariant of the cyclotomic \(\mathbb Z_2\)-extension of a real quadratic field
- The Iwasawa conjecture for totally real fields
- ON THE IWASAWA INVARIANTS OF CERTAIN REAL ABELIAN FIELDS II
- Improved Methods for Calculating Vectors of Short Length in a Lattice, Including a Complexity Analysis
- Über Den Bizyklischen Biquadratischen Zahlkörper
- On Γ-extensions of algebraic number fields
- On the Iwasawa Invariants of Totally Real Number Fields
- On the Iwasawa 𝜆-invariants of real abelian fields
- On the units of algebraic number fields
