Cyclotomic quadratic forms

DOI10.5802/JTNB.295zbMath0977.11029OpenAlexW2317811506MaRDI QIDQ5939725

François Sigrist

Publication date: 30 July 2001

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

Full work available at URL: http://www.numdam.org/item?id=JTNB_2000__12_2_519_0

zbMATH Keywords

complete classification of perfect cyclotomic formscyclotomic quadratic formsHermite constantHermite invariant of cyclotomic formsuper boundsVoronoi's algorithm

Mathematics Subject Classification ID

Quadratic forms (reduction theory, extreme forms, etc.) (11H55) Minima of forms (11H50) Forms and linear algebraic groups (11E99)

Related Items (2)

Perfect unary forms over real quadratic fields ⋮ Anne-Marie Bergé -- in memoriam (1939--2008)

Cites Work

• Complete enumeration of classes of perfect septenary forms
• Three finiteness theorems for \(G\)-forms
• Formes quadratiques liées aux algèbres semi-simples.
• Etude Algorithmique de Réseaux Construits avec la Forme Trace
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