00-36   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Tomasz Schoen:

The distribution of dense Sidon subsets of Zm

Let S be a Sidon subset of Zm of cardinality m½+O(1). It is proved in particular, that for any interval I={a,a+1,...,a+l-1} in Zm, 0<=l< m, we have

¦   ¦ S \cap I ¦   - ¦ S ¦   l/m ¦ = O(¦S¦ ½   ln m).

Mathematics Subject Classification (1991): 11B50, 11B75, 11P99

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