Integer Points on Curves and Surfaces.
Intermediate Diophantine exponents and parametric geometry of numbers
Klein polyhedra and lattices with positive norm minima
A Klein polyhedron is defined as the convex hull of nonzero lattice points inside an orthant of . It generalizes the concept of continued fraction. In this paper facets and edge stars of vertices of a Klein polyhedron are considered as multidimensional analogs of partial quotients and quantitative characteristics of these “partial quotients”, so called determinants, are defined. It is proved that the facets of all the Klein polyhedra generated by a lattice have uniformly bounded determinants...
Konvexe Fundamentalpolyeder und einfache D-V-Zellen für 29 Raumgruppen, die Coxetersche Spiegelungsuntergruppen enthalten
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 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 in ℤ² and the congruence xy+uv ≡ c(mod m)
Lemmes de Siegel d'évitement
Limit shape of Jarník's polygonal curve is a circle
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 Heights on Finitely Generated Groups.
Minkowski's Successive Minima and the Zeros of a Convexity-Function.
Minkowski's theorems in completions of A-fields of non-zero characteristic
Mordell-Weil lattices in characteristic 2. III: A Mordell-Weil lattice of rank 128.
Multidimensional Euclidean algorithms.