AlphaEvolve problems·alphaevolve:44
Sum-difference problem III
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Let $C$ be the supremum of all constants such that there exist arbitrarily large finite sets of integers $A,B$ with $|A+B| \\lesssim |A|$ and $|A-B| \\gtrsim |A|^{C}$. Establish upper and lower bounds for $C$ that are as strong as possible.
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qed.bot, “Sum-difference problem III”, https://qed.bot/t/alphaevolve-44, as of 30 Sep 2026.