Erdős problem 336 · problems.science

If $h(r)$ is the maximal finite exact order attainable by an additive basis of order at most $r$ , what is $\lim_{r \to \infty} h(r)/r^2$ ? The candidate proof identifies the sharp limit $1/3$ .

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If $h(r)$ is the maximal finite exact order attainable by an additive basis of order at most $r$, what is $\lim_{r \to \infty} h(r)/r^2$? The candidate proof identifies the sharp limit $1/3$.

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