ARITHMETIC CHARACTERIZATIONS OF SIDON SETS
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abstract
Let be any discrete Abelian group. We give several arithmetic characterizations of Sidon sets in . In particular, we show that a set is a Sidon set iff there is a number > 0 such that any finite subset A of contains a subset B A with |B| |A| which is quasiindependent, i.e. such that the only relation of the form (Equation presented), with equal to 1 or 0, is the trivial one. 1983 American Mathematical Society.