Displaying similar documents to “Unique representation bases for the integers”

Lower bounds for a conjecture of Erdős and Turán

Ioannis Konstantoulas (2013)

Acta Arithmetica

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We study representation functions of asymptotic additive bases and more general subsets of ℕ (sets with few nonrepresentable numbers). We prove that if ℕ∖(A+A) has sufficiently small upper density (as in the case of asymptotic bases) then there are infinitely many numbers with more than five representations in A+A, counting order.