Upper bounds for the Euclidean minima of abelian fields of odd prime power conductor

DOI10.1007/s00208-013-0932-3zbMath1278.11098arXiv1310.6057OpenAlexW1978700158MaRDI QIDQ378841

Eva Bayer-Fluckiger, Piotr Maciak

Publication date: 12 November 2013

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.6057

zbMATH Keywords

cyclotomic fieldslatticesMinkowski's conjectureEuclidean ringthin fields

Mathematics Subject Classification ID

Lattice packing and covering (number-theoretic aspects) (11H31) Other abelian and metabelian extensions (11R20)

Related Items (5)

Inhomogeneous minima of mixed signature lattices ⋮ Unnamed Item ⋮ Euclidean minima of algebraic number fields ⋮ Isometries of quadratic spaces ⋮ Upper bounds for the Euclidean minima of abelian fields

Uses Software

• Magma

Cites Work

• Unnamed Item
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• On the Euclidean minimum of some real number fields
• Upper bounds for Euclidean minima of algebraic number fields
• On conjectures of Minkowski and Woods for \(n=7\)
• The Magma algebra system. I: The user language
• On computing discriminants of subfields of \(\mathbb Q(\zeta_{p^r})\)
• The Euclidean algorithm in algebraic number fields
• On conjectures of Minkowski and Woods for n=8
• Über die Hauptordnung der ganzen Elemente eines abelschen Zahlkörpers.
• The ring of integers of an abelian number field.
• Minkowski’s conjecture, well-rounded lattices and topological dimension

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