Infinitely often dense bases for the integers with a prescribed representation function.
Lee, Jaewoo (2010)
Integers
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Displaying similar documents to “The inverse problem for representation functions for general linear forms.”
Infinitely often dense bases for the integers with a prescribed representation function.
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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.