Elliptic units and the class numbers of non-Galois fields

DOI10.1016/0022-314X(89)90016-4zbMath0807.11051MaRDI QIDQ1812537

Ken Nakamula

Publication date: 25 June 1992

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

class numberfundamental unitselliptic unitsabelian extensioneffective algorithm

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20) Elliptic and modular units (11G16)

Cites Work

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• Calculation of the class numbers and fundamental units of abelian extensions over imaginary quadratic fields from approximate values of elliptic units
• A construction of the groups of units of some number fields from certain subgroups
• Class number calculation of a quartic field from the elliptic unit
• Class number calculation of a sextic field from the elliptic unit
• Class number calculation of a cubic field from the elliptic unit.
• Die Klassenzahl der Teilkörper abelscher Erweiterungen imaginär-quadratischer Zahlkörper. II.

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