AlphaEvolve problems·alphaevolve:2
An autocorrelation problem related to Sidon sets
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Let $C$ denote the largest constant for which one has $$ \\max_{-1/2 \\leq t \\leq 1/2} \\int_\\mathbb{R} f(t-x) f(x)\ dx \\geq C \\left(\\int_{-1/4}^{1/4} f(x)\ dx\\right)^2 $$ for all non-negative $f \\colon \\mathbb{R} \\to \\mathbb{R}$. What is $C$?
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qed.bot, “An autocorrelation problem related to Sidon sets”, https://qed.bot/t/alphaevolve-2, as of 30 Sep 2026.