(Almost) arithmetic progressions and dimension
Jon Fraser (University of St Andrews)
Tuesday 21st March, 2017 16:00-17:00 Maths 516
An old conjecture of Erdos-Turan states that any set of positive integers whose reciprocals form a divergent series should contain arbitrarily long arithmetic progressions. I will discuss connections between (almost) arithmetic progressions, weak tangents, and Assouad dimension and give a simple proof that sets of positive integers whose reciprocals form a divergent series contain arbitrarily long (almost) arithmetic progressions.
This is joint work with Han Yu (St Andrews).