O jistém pokrytí racionálních bodů v rovině nekonečnou jednoduchou lomenou čarou
O -posunutiach
O minimu forem kvadratických
Odd unimodular lattices of minimum 4
On a decomposition of integer vectors, II
On a generalization of Craig lattices
In this paper we introduce generalized Craig lattices, which allows us to construct lattices in Euclidean spaces of many dimensions in the range which are denser than the densest known Mordell-Weil lattices. Moreover we prove that if there were some nice linear binary codes we could construct lattices even denser in the range . We also construct some dense lattices of dimensions in the range . Finally we also obtain some new lattices of moderate dimensions such as , which are denser than the...
On a generalization of the Selection Theorem of Mahler
The set of point sets of , having the property that their minimal interpoint distance is greater than a given strictly positive constant is shown to be equippable by a metric for which it is a compact topological space and such that the Hausdorff metric on the subset of the finite point sets is compatible with the restriction of this topology to . We show that its subsets of Delone sets of given constants in , are compact. Three (classes of) metrics, whose one of crystallographic nature,...
On a Hadwiger-Wills inequality concerning lattice points.
On a measure theoretic aspect of diophantine approximation.
On a Problem Connected with a Theorem of Jarnik.
On a problem of A.D. Sands.
On a problem of Ryškov concerning lattice coverings
On a problem posed by R. Salvati Manni
On a quantitative version of the Oppenheim conjecture.
On a question of Schmidt and Summerer concerning -systems
Following a suggestion of W.M. Schmidt and L. Summerer, we construct a proper -system with the property . In fact, our method generalizes to provide -systems with , for arbitrary . We visualize our constructions with graphics. We further present explicit examples of numbers that induce the -systems in question.
On a question regarding visibility of lattice points, II
On an analog of Hermite's constant.
On C-Minimal Forms.
On computations with integer division
On conjectures of Minkowski and Woods for n=8