Upper bounds for the Euclidean minima of abelian fields

DOI10.5802/jtnb.919zbMath1398.11132arXiv1311.5163OpenAlexW2593386873MaRDI QIDQ5963340

Eva Bayer-Fluckiger, Piotr Maciak

Publication date: 19 February 2016

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.5163

zbMATH Keywords

abelian extensionscyclotomic fieldsideal latticesEuclidean minimaEuclidean ringsMinkowski's conjecture

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Cyclotomic extensions (11R18) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (2)

Euclidean minima of algebraic number fields ⋮ Rings of integers in number fields and root lattices

Cites Work

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• Upper bounds for the Euclidean minima of abelian fields of odd prime power conductor
• On the Euclidean minimum of some real number fields
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• On conjectures of Minkowski and Woods for \(n=7\)
• The Euclidean algorithm in algebraic number fields
• Ideal lattices over totally real number fields and Euclidean minima
• On conjectures of Minkowski and Woods for n=8
• Euclidean minima of totally real number fields: Algorithmic determination
• Minkowski’s conjecture, well-rounded lattices and topological dimension

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