University of Cambridge > Talks.cam > Discrete Analysis Seminar > Counting Sidon Sets

Counting Sidon Sets

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  • UserWojciech Samotij, Cambridge
  • ClockFriday 14 October 2011, 16:00-17:00
  • HouseMR15, CMS.

If you have a question about this talk, please contact Ben Green.

Tea in Pavilion E from 3.30pm

A set A of integers is called a Sidon set if all the pairwise sums x+y, with x and y elements of A, are distinct. Let S(n) denote the family of Sidon subsets of {1, ..., n}. A central problem in the study of Sidon sets is that of determining the maximum possible size s(n) of a set A in S(n). In this talk, we address the (closely related) problem of estimating |S(n)| and show that |S(n)| \leq 2^{C\sqrt{n}} for some constant C, which is asymptotically sharp for the logarithm. This is joint work with Yoshiharu Kohayakawa, Sangjune Lee, and Vojtech Rodl.

This talk is part of the Discrete Analysis Seminar series.

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