On Sum Sets of Sidon Sets II.

Erdős, Pál and Sárközy, András and T. Sós, Vera (1995) On Sum Sets of Sidon Sets II. ISRAEL JOURNAL OF MATHEMATICS, 90 (1-3). pp. 221-233. ISSN 0021-2172

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Abstract

It is proved that there is no Sidon set selected from {1, 2, ... , N} whose sum set contains c(1)N(1/2) consecutive integers, but it may contain c(2)N(1/3) consecutive integers. Moreover, it is shown that a finite Sidon set cannot be well-covered by generalized arithmetic progressions.

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