Open Access
September 2012 On $\lambda$-invariants of $\mathbb{Z}_\ell$-extensions over real abelian number fields of prime power conductors
Takashi Fukuda, Keiichi Komatsu, Takayuki Morisawa
Funct. Approx. Comment. Math. 47(1): 95-104 (September 2012). DOI: 10.7169/facm/2012.47.1.8

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.

Citation

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Takashi Fukuda. Keiichi Komatsu. Takayuki Morisawa. "On $\lambda$-invariants of $\mathbb{Z}_\ell$-extensions over real abelian number fields of prime power conductors." Funct. Approx. Comment. Math. 47 (1) 95 - 104, September 2012. https://doi.org/10.7169/facm/2012.47.1.8

Information

Published: September 2012
First available in Project Euclid: 25 September 2012

zbMATH: 1270.11108
MathSciNet: MR2987114
Digital Object Identifier: 10.7169/facm/2012.47.1.8

Subjects:
Primary: 11R23
Secondary: 11Y40

Keywords: computation. , Iwasawa invariant

Rights: Copyright © 2012 Adam Mickiewicz University

Vol.47 • No. 1 • September 2012
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