The Sidon constant of sets with three elements
classification
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constantelementsn1-n0n2-n0setssidonthreeelementary
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We solve an elementary extremal problem on trigonometric polynomials and obtain the exact value of the Sidon constant for sets with three elements {n0, n1, n2}: it is \sec(\pi / 2n) for n = max(n1-n0, n2-n0, n2-n1) / gcd(n1-n0, n2-n0).
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