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December 2008 On the class number of a compositum of real quadratic fields: an approach via circular units
Radan Kučera
Funct. Approx. Comment. Math. 39(2): 179-189 (December 2008). DOI: 10.7169/facm/1229696569

Abstract

For a compositum $k$ of quadratic number fields new explicit units are constructed by taking power-of-two roots of circular units. These units are used to obtain a result concerning the divisibility of the class number of $k$ by a power of $2$.

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Radan Kučera. "On the class number of a compositum of real quadratic fields: an approach via circular units." Funct. Approx. Comment. Math. 39 (2) 179 - 189, December 2008. https://doi.org/10.7169/facm/1229696569

Information

Published: December 2008
First available in Project Euclid: 19 December 2008

zbMATH: 1225.11141
MathSciNet: MR2490724
Digital Object Identifier: 10.7169/facm/1229696569

Subjects:
Primary: 11R20
Secondary: 11R27, 11R29

Rights: Copyright © 2008 Adam Mickiewicz University

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Vol.39 • No. 2 • December 2008
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