A Characterisation of Leech's Lattice.
A local criterion for the covering of space by convex bodies
A lower bound on packing density.
A new sphere packing in 20 dimensions.
A note on the Hermite–Rankin constant
We generalize Poor and Yuen’s inequality to the Hermite–Rankin constant and the Bergé–Martinet constant . Moreover, we determine explicit values of some low- dimensional Hermite–Rankin and Bergé–Martinet constants by applying Rankin’s inequality and some inequalities proven by Bergé and Martinet to explicit values of , and ().
A Reduction of Lattice Tiling by Translates of a Cubical Cluster.
A Remark to the Paper of H. Hadwiger "Überdeckung des Raumes durch translationsgleiche Punktmengen und Nachbarnzahl".
A Stability Property of the Densest Circle Packing.
An equivalent of Kronecker's theorem for powers of an algebraic number and structure of linear recurrences of fixed length
Covering space with convex bodies
Coverings Sets for Plane Lattices.
Delaunay polytopes derived from the Leech lattice
A Delaunay polytope in a lattice is perfect if any affine transformation that preserve its Delaunay property is a composite of an homothety and an isometry. Perfect Delaunay polytopes are rare in low dimension and here we consider the ones that one can get in lattice that are sections of the Leech lattice.By doing so we are able to find lattices with several orbits of perfect Delaunay polytopes. Also we exhibit Delaunay polytopes which remain Delaunay in some superlattices. We found perfect Delaunay...
Dichteste gitterförmige Lagerung kongruenter Körper
Die Zerlegung spezieller Einheitskreisüberdeckungen in drei Einheitskreispackungen
Die Zerlegung von gitterpunktförmigen 2-fachen Einheitskreispackungen in drei Einheitskreispackungen
Double-Lattice Packings of Convex Bodies in the Plane.
Ein Satz über abelsche Gruppen mit Anwendungen auf die Geometrie der Zahlen.
Empilements de sphères
Etude algorithmique de réseaux construits avec la forme trace. (Algorithmic study of lattices constructed by means of the trace form).
Even lattices with covering radius .