On the computation of Hermite-Humbert constants for real quadratic number fields

DOI10.5802/jtnb.526zbMath1098.11063OpenAlexW2001015783MaRDI QIDQ819888

Marcus M. Wagner, Michael E. Pohst

Publication date: 30 March 2006

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_2005__17_3_905_0

zbMATH Keywords

quadratic extensionsAlgebraic number theory computations

Mathematics Subject Classification ID

Quadratic extensions (11R11) Algebraic number theory computations (11Y40) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

Related Items (3)

Binary Hermitian forms over a cyclotomic field ⋮ On the computation of Hermite-Humbert constants: the algorithm of Cohn revisited ⋮ A generalized Hermite constant for imaginary quadratic fields

Uses Software

• KANT/KASH

Cites Work

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• Théorie de la reduction des formes quadratiques definies positives dans un corps algébrique \(K\) fini
• Hermite's Constant for Quadratic Number Fields
• Hermite Constant and Extreme Forms for Algebraic Number Fields
• A Numerical Survey of the Floors of Various Hilbert Fundamental Domains

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