On the supremum of the representation function of an additive basis

This talk is based on a paper of Grekos, et al. The Erdos-Turan conjecture asked a question about the behaviour of the supremum of representation functions of additive bases of finite order for the nonnegative integers. We will talk about what kind of values the suprema of representation functions can take. We will also discuss some related results that are weak versions of a generalized Erdos-Turan conjecture.

Jaewoo Lee