Canonical bases for cyclotomic fields

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1990 English Publisher:Springer Science and Business Media LLCJournal:Applicable Algebra in Engineering, Communication and Computing, volume 1, pages 125-134 (issn: 0938-1279, eissn: 1432-0622,

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Authors: Wieb Bosma;

doi: 10.1007/bf01810296

Canonical bases for cyclotomic fields

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Abstract

Der Autor konstruiert eine Ganzheitsbasis des \(n\)-ten Kreiskörpers \(\mathbb{Q}^{(n)}\), welche für jedes \(d\mid n\) eine Ganzheitsbasis von \(\mathbb{Q}^{(d)}\) als Teilsystem enthält.

Related Organizations

University of Sydney
Australia

Keywords

sum of roots of unity, Cyclotomic extensions, integral basis, Algebraic number theory computations, cyclotomic field

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