AlphaEvolve problems·alphaevolve:6
An autocorrelation problem related to difference bases
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Let $C$ be the smallest constant such that $$ \\min_{0 \\leq t \\leq 1} \\int_\\mathbb{R} f(x) f(x+t)\ dx \\leq C \\|f\\|_{L^1(\\mathbb{R})}^2 $$ for $f \\in L^1(\\mathbb{R})$. What is $C$?
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qed.bot, “An autocorrelation problem related to difference bases”, https://qed.bot/t/alphaevolve-6, as of 30 Sep 2026.