Erdős Problem #339 — Positive density of restricted basis representations

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If A⊆NA\subseteq\mathbb N is an additive basis of order rr, must the integers representable as sums of rr distinct elements of AA have positive lower density?

References

Additional references

P. Erdős and R. L. Graham, Old and new problems and results in combinatorial number theory, Monographies de L'Enseignement Mathématique 28 (1980).

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