Functiones et Approximatio Commentarii Mathematici

On $\lambda$-invariants of $\mathbb{Z}_\ell$-extensions over real abelian number fields of prime power conductors

Takashi Fukuda, Keiichi Komatsu, and Takayuki Morisawa

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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


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References

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Adam Mickiewicz University, Faculty of Mathematics and Computer Science

Functiones et Approximatio Commentarii Mathematici

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