Computation of Iwasawa lambda invariants for imaginary quadratic fields

DOI10.1016/S0022-314X(05)80027-7zbMath0722.11052OpenAlexW2088034729MaRDI QIDQ2641348

Yanyan Li

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/s0022-314x(05)80027-7

zbMATH Keywords

imaginary quadratic fieldtableIwasawa lambda invariantp-adic L- function

Mathematics Subject Classification ID

Quadratic extensions (11R11) Algebraic number theory computations (11Y40) Iwasawa theory (11R23) Zeta functions and (L)-functions (11S40)

Related Items (12)

No general Riemann-Hurwitz formula for relative \(p\)-class groups ⋮ Abstract \(\ell\)-adic 1-motives and Tate's canonical class for number fields ⋮ On Gauss factorials and their connection to the cyclotomic \(\lambda \)-invariants of imaginary quadratic fields ⋮ On CM elliptic curves and the cyclotomic \(\lambda \)-invariants of imaginary quadratic fields ⋮ Examples of \(\lambda\)-invariants ⋮ On Small Iwasawa Invariants and Imaginary Quadratic Fields ⋮ On the Iwasawa 𝜆-invariants of real abelian fields ⋮ Anticyclotomic \(\mu \)-invariants of residually reducible Galois representations ⋮ On certain infinite families of imaginary quadratic fields whose Iwasawa λ-invariant is equal to 1 ⋮ Heuristics for class numbers and lambda invariants ⋮ On the Iwasawa \(\lambda\)-invariants of imaginary quadratic fields ⋮ Using continued fractions to compute Iwasawa lambda invariants of imaginary quadratic number fields

Cites Work

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• A note on class numbers of algebraic number fields
• On the behavior of \(p\)-adic \(L\)-functions at \(s=0\)
• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• Regulators and Iwasawa modules
• On cyclotomic \(\mathbb{Z}_2\)-extensions of imaginary quadratic fields
• The nontriviality of certain Z\(_l\)-extensions
• On Γ-extensions of algebraic number fields
• A Method for Computing the Iwasawa λ-Invariant
• The Cyclotomic Z 2 -Extension of Imaginary Quadratic Fields
• Eine p-adische Theorie der Zetawerte. II.
• On the Iwasawa Invariants of Totally Real Number Fields
• Examples of Iwasawa invariants, II

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