Diophantine Approximations and Integer Points of Cones

The purpose of this note is to present a relation between directed best approximations of a rational vector and the elements of the minimal Hilbert basis of certain rational pointed cones. Furthermore, we show that for a special class of these cones the integer Carath

• Type: Journal
• Year: 2002
• Where: COMBINATORICA
• Authors: Martin Henk, Robert Weismantel
• Keywords: COMBINATORICA 2002, Minimal Hilbert Basis, Rational Pointed Cones, Rational Vector