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Systemes Fondamentaux D'Unites De Certains Composes De Deux Corps Quadratiques, I

Published online by Cambridge University Press:  20 November 2018

Claude Levesque
Claude Levesque*
Affiliation:
Université Laval, Québec, P.Q.
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Lorsque est un composé de deux corps quadratiques réels, nous pouvons calculer explicitement un système fondamental d'unités de L4 (cf. [3], [2] et [5]), en considérant les unités fondamentales η2, δ2 et ∈2 des trois sous-corps quadratiques L2, F2 et K2 de L4.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 33 , Issue 4 , 01 August 1981 , pp. 937 - 945
Copyright
Copyright © Canadian Mathematical Society 1981

References

1. Frei, G., Fundamental systems of units in biquadratic parametric number fields, submitted for publication.Google Scholar
2. Kubota, T., Über den bizyklischen biquadratischen Zahlkörper, Nagoya Math. J. 10 (1956), 65–85.Google Scholar
3. Kuroda, S., Über den Dirichletschen Körper, J. Fac. Sci. Imp. Univ. Tokyo 5 (1943), 383–406.Google Scholar
4. Stender, H. J., Lösbare Gleichungen axn-byn = c und Grundeinheiten fur einige algebraische Zahlkörper vom Grade n = 3, 4, 6, J. reine angew. Math. 290 (1977), 24–62.Google Scholar
5. Wada, H., On the class number and the unit group of certain algebraic number fields, J. Fac. Sci. Univ. Tokyo 18 (1966), 201–209.Google Scholar