### On the size of the set AA+A over the reals

Heilbronn Number Theory Seminar

1st November 2017, 4:00 pm – 5:00 pm

Howard House, 4th Floor Seminar Room

In the spirit of the Erdős-Szemerédi sum-product conjecture, it is widely believed that sets defined by a combination of additive and multiplicative operations on a finite set A are significantly larger in size than the original set. One of the first questions of this type that arises concerns the size of the set AA+A. This talk will discuss some new bounds for this problem.

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