A generalization of Voronoi's theorem to algebraic lattices

DOI10.5802/jtnb.742zbMath1253.11072OpenAlexW2037968213MaRDI QIDQ719147

Kenji Okuda, Syouji Yano

Publication date: 10 October 2011

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

Full work available at URL: https://eudml.org/doc/116430

zbMATH Keywords

extreme, eutactic, perfect latticeslattices on algebraic number fieldsVoronoi's theorem

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Algebraic numbers; rings of algebraic integers (11R04) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

Related Items (3)

Perfect unary forms over real quadratic fields ⋮ On the cohomology of linear groups over imaginary quadratic fields ⋮ Perfect unary forms over certain cubic fields

Cites Work

• Beiträge zu einer Reduktionstheorie in Positivitätsbereichen. I
• Beiträge zu einer Reduktionstheorie in Positivitätsbereichen. II
• On Bost-Connes type systems for number fields
• Théorie de la reduction des formes quadratiques definies positives dans un corps algébrique \(K\) fini
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