Mehrklassige Geschlechter von Einheitsformen in total reellen algebraischen Zahlkörpern.
Berechnung kleiner Diskriminanten total reeller algebraischer Zahlkörper.
Invarianten des total reellen Körpers siebten Grades mit Minimaldiskriminante
Über die Berechnung von Klassenzahlen und Klassengruppen algebraischer Zahlkörper.
Familles de polynômes liées aux courbes modulaires X₁(l) unicursales et points rationnels non-triviaux de courbes elliptiques quotient
Units in some parametric families of quartic fields
On lattice bases with special properties
In this paper we introduce multiplicative lattices in and determine finite unions of suitable simplices as fundamental domains for sublattices of finite index. For this we define cyclic non-negative bases in arbitrary lattices. These bases are then used to calculate Shintani cones in totally real algebraic number fields. We mainly concentrate our considerations to lattices in two and three dimensions corresponding to cubic and quartic fields.
On the indices of multiquadratic number fields
On the computation of Hermite-Humbert constants for real quadratic number fields
We present algorithms for the computation of extreme binary Humbert forms in real quadratic number fields. With these algorithms we are able to compute extreme Humbert forms for the number fields and . Finally we compute the Hermite-Humbert constant for the number field .
The totally real extension of degree 6 with minimum discriminant.
Diophantine equations over global function fields. II: -integral solutions of Thue equations.
The totally real extension of degree 6 with minimum discriminant.
Power integral bases in orders of composite fields.
A practical version of the generalized Lagrange algorithm.
On the resolution of index form equations in dihedral quartic number fields.
On real quadratic number fields suitable for cryptography.
Computation of 2-groups of positive classes of exceptional number fields
We present an algorithm for computing the 2-group of the positive divisor classes in case the number field has exceptional dyadic places. As an application, we compute the 2-rank of the wild kernel in .
The extensions of degree 6 with minimum discriminant.
A new algorithm for the computation of logarithmic -class groups of number fields.
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