Functiones et Approximatio Commentarii Mathematici
- Funct. Approx. Comment. Math.
- Volume 47, Number 1 (2012), 95-104.
On $\lambda$-invariants of $\mathbb{Z}_\ell$-extensions over real abelian number fields of prime power conductors
Takashi Fukuda, Keiichi Komatsu, and Takayuki Morisawa
Abstract
For each prime number $\ell$ less than $10^4$, we construct an infinite family of abelian number fields for which Iwasawa $\lambda_{\ell}$-invariants vanish.
Article information
Source
Funct. Approx. Comment. Math., Volume 47, Number 1 (2012), 95-104.
Dates
First available in Project Euclid: 25 September 2012
Permanent link to this document
https://projecteuclid.org/euclid.facm/1348578280
Digital Object Identifier
doi:10.7169/facm/2012.47.1.8
Mathematical Reviews number (MathSciNet)
MR2987114
Zentralblatt MATH identifier
1270.11108
Subjects
Primary: 11R23: Iwasawa theory
Secondary: 11Y40: Algebraic number theory computations
Keywords
Iwasawa invariant computation.
Citation
Fukuda, Takashi; Komatsu, Keiichi; Morisawa, Takayuki. On $\lambda$-invariants of $\mathbb{Z}_\ell$-extensions over real abelian number fields of prime power conductors. Funct. Approx. Comment. Math. 47 (2012), no. 1, 95--104. doi:10.7169/facm/2012.47.1.8. https://projecteuclid.org/euclid.facm/1348578280