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arxiv: 2201.05704 · v1 · pith:LHE2WGOUnew · submitted 2022-01-14 · 🧮 math.CO · math.NT· math.OC

ErdH{o}s' minimum overlap problem

classification 🧮 math.CO math.NTmath.OC
keywords problemminimumoverlapanalysisapproachaskedboundconvex
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We obtain a substantially improved lower bound for the minimum overlap problem asked by Erd\H{o}s. Our approach uses elementary Fourier analysis to translate the problem to a convex optimization program.

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