La réduction des réseaux. Autour de l'algorithme de Lenstra, Lenstra, Lovász
Lamination et antilamination des réseaux euclidiens
Dans cet article, nous étudions certains invariants liés à la réduction de Hermite-Korkine-Zolotareff des réseaux euclidens (ou des formes quadratiques définies positives).
Lattice Inequalities for Convex Bodies and Arbitrary Lattices.
Lattice Points.
Lattice points in four-dimensional tetrahedra and a conjecture of Rademacher.
Lattice Points in High-Dimensional Spheres.
Lattice Points in Lattice Polytopes.
Lattice points in some special three-dimensional convex bodies with points of Gaussian curvature zero at the boundary
We investigate the number of lattice points in special three-dimensional convex bodies. They are called convex bodies of pseudo revolution, because we have in one special case a body of revolution and in another case even a super sphere. These bodies have lines at the boundary, where all points have Gaussian curvature zero. We consider the influence of these points to the lattice rest in the asymptotic representation of the number of lattice points.
Lattice Points on Convex Curves.
Lattices and association schemes : a unimodular example without roots in dimension 28
Some interesting lattices can be constructed using association schemes. We illustrate this by a unimodular lattice without roots of dimension 28 which admits as its automorphism group.
Lattices in ℤ² and the congruence xy+uv ≡ c(mod m)
Lemmes de Siegel d'évitement
Les réseaux et sont équivalents
On montre que le réseau de Barnes-Wall de rang est équivalent au réseau à double congruence de Martinet. La preuve utilise la notion de voisinage de Kneser et des résultats de Koch et Venkov sur le défaut du voisinage (“Nachbardefekt”).
Limit shape of Jarník's polygonal curve is a circle
Linearly Independent Zeros of Quadratic Forms over Number-Fields.
Low dimensional strongly perfect lattices. II: Dual strongly perfect lattices of dimension 13 and 15.
A lattice is called dual strongly perfect if both, the lattice and its dual, are strongly perfect. We show that there are no dual strongly perfect lattices of dimension 13 and 15.
Lower bounds for discriminants of number fields
Lower Bounds for Heights on Finitely Generated Groups.
Lower bounds for simultaneous Diophantine approximation constants
After a brief exposition of the state-of-art of research on the (Euclidean) simultaneous Diophantine approximation constants , new lower bounds are deduced for and .