On the uniform distribution in residue classes of dense sets of integers with distinct sums

Mihail N. Kolountzakis

A set $\mathcal{A}\subseteq \left\{1,...,N\right\}$ is of type $B_2$ if all sums $a+b$, with $a\ge b$, $a,b\in \mathcal{A}$, are distinct. It is well known that the largest such set is of size a…