Hirabayashi, Mikihito; Yoshino, Ken-ichi Unit indices of imaginary abelian number fields of type \((2,2,2)\). (English) Zbl 0705.11065 J. Number Theory 34, No. 3, 346-361 (1990). Es seien \(K={\mathbb Q}(\sqrt{-d_ 0},\sqrt{d_ 1},\sqrt{d_ 2})\) und \(K_ 0={\mathbb Q}(\sqrt{d_ 1},\sqrt{d_ 2})\), wobei \(d_ 0\), \(d_ 1\), \(d_ 2\) von einander verschiedene positive quadratfreie ganze Zahlen mit \(d_ 1,d_ 2\geq 2\) sind. Der Autor bestimmt den Einheitenindex von \(K/K_ 0\) mit Hilfe der Grundeinheiten der reellen quadratischen Unterkörper von \(K\). Reviewer: Konstantin Lakkis (Thessaloniki) Cited in 6 Documents MSC: 11R27 Units and factorization 11R20 Other abelian and metabelian extensions Keywords:unit index; imaginary abelian field; fundamental units PDFBibTeX XMLCite \textit{M. Hirabayashi} and \textit{K.-i. Yoshino}, J. Number Theory 34, No. 3, 346--361 (1990; Zbl 0705.11065) Full Text: DOI References: [1] Hasse, H., Über die Klassenzahl abelscher Zahlkörper (1952), Akademie-Verlag, (reproduction: Springer-Verlag, 1985) · Zbl 0063.01966 [2] Hirabayashi, M.; Yoshino, K., Remarks on Unit Indices of Imaginary Abelian Number Fields II, Manuscripta Math., 69, 235-251 (1989) · Zbl 0703.11054 [3] Kubota, T., Über die Beziehung der Klassenzahlen der Unterkörper des bizyklischen biquadratischen Zahlkörpers, Nagoya Math. J., 6, 119-127 (1953) · Zbl 0053.21902 [4] Kubota, T., Über den bizyklischen biquadratischen Zahlkörper, Nagoya Math. J., 10, 65-85 (1956) · Zbl 0074.03001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.