Abstract.
Let \( S \subseteqq \mathbb{Z}_m \) be a Sidon set of cardinality \( \mid S \mid = m^{1 \over 2} + O(1) \). It is proved, in particular, that for any interval \( {\cal I} = \{a, a + 1, \ldots, a + \ell - 1\} \) in \( \mathbb{Z}_m \), \( 0 \leqq \ell \) < m, we have \( \big| {\mid S \cap {\cal I} \mid - \mid S \mid \ell/m} \big| = O(\mid S \mid^{1 \over 2}\textrm{ln}\, m) \).
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Eingegangen am 13. 10. 2000
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Schoen, T. The distribution of dense Sidon subsets of $ \mathbb{Z}_m $. Arch. Math. 79, 171–174 (2002). https://doi.org/10.1007/s00013-002-8301-6
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DOI: https://doi.org/10.1007/s00013-002-8301-6