Siegel's Lemma and Sum-Distinct Sets

Details Siegel's Lemma and Sum-Distinct Sets Siegel's Lemma and Sum-Distinct Sets

2005-03-06

arxiv.org/abs/math/0503115v3

Mathematics

Number Theory

10 pages, corrected typos

Scientific paper

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.

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