Siegel's Lemma and Sum-Distinct Sets
arXiv:math/0503115
Abstract
We give a sharpened form of Siegel Lemma's w. r. t. the maximum norm. This implies a new lower bound on the greatest element of a sum-distinct set of positive integers (Erdös-Moser problem). The main tools are Minkowski's theorem on successive minima and the Busemann theorem from convex geometry.
10 pages, corrected typos