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1. Introduction. A Sidon set is a set A of integers with the property that all the sums a + b, a, b ∈ A, a ≤ b are distinct. A Sidon set A ⊂ [1, N ] can have as many as (1 + o(1)) √

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Acknowledgements. This work was stimulated by conversations with Prof. P. Erd˝os.

E-mail: ruzsa@math-inst.hu

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