Arithmetic of a family of cubic fields

DOI10.1016/S1631-073X(03)00063-3zbMath1047.11103MaRDI QIDQ1408090

Mohamed El Hassani Charkani, Ouafae Lahlou

Publication date: 15 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

minimal pointsVoronoi algorithmfundamental unitfield extensionsthe ring of integers of a field

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16)

Cites Work

• Two families of periodic Jacobi algorithms with period lengths going to infinity
• On the indices and integral bases of non-cyclic but Abelian biquadratic fields
• Monogénéité de l'anneau des entiers de certains corps de classes de rayon. (Monogeneity of the ring of integers of certain ray class fields)
• Extensions cubiques cycliques de \(\mathbb{Q}\) dont l'anneau des entiers est monogene
• On the extreme points in a cubic order
• On discriminants and indices of integers of an algebraic number field.
• Integral bases in algebraic number fields.
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