Generalized Sidon sets

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Abstract

We give asymptotic sharp estimates for the cardinality of a set of residue classes with the property that the representation function is bounded by a prescribed number. We then use this to obtain an analogous result for sets of integers, answering an old question of Simon Sidon. © 2010 Elsevier Inc.

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Cilleruelo, J., Ruzsa, I., & Vinuesa Carlos, C. (2010). Generalized Sidon sets. Advances in Mathematics, 225(5), 2786–2807. https://doi.org/10.1016/j.aim.2010.05.010

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