The Sidon constant of sets with three elements
Abstract
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 (π / 2n) for n = max(n1-n0, n2-n0, n2-n1) / gcd(n1-n0, n2-n0).
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