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