Siegel's Lemma and Sum-Distinct Sets
  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 (Erd\"os-Moser problem). The main tools are Minkowski's theorem on successive minima and the Busemann theorem from convex geometry. 
Iskander Aliev