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arXiv · 0909.5024

Generalized Sidon sets

Javier Cilleruelo·Imre Z. Ruzsa·Carlos Vinuesa
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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.

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Javier Cilleruelo, Imre Z. Ruzsa, Carlos Vinuesa. 2009-09-28. Generalized Sidon sets. https://arxiv.org/abs/0909.5024

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