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Generalized Sidon sets

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If you have a question about this talk, please contact Boris Bukh .

This talk will be about a joint work with Javier Cilleruelo and Imre Z. Ruzsa.

We give asymptotically 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.

We will describe the tools that are needed and show the equivalence of this problem with a problem from analysis proposed by Schinzel and Schmidt.

The talk will be accessible to a wide audience; we will avoid the technicalities.

This talk is part of the Discrete Analysis Seminar series.

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