The Sidon constant of sets with three elements

Details The Sidon constant of sets with three elements The Sidon constant of sets with three elements

2001-02-19

arxiv.org/abs/math/0102145v1

Mathematics

Classical Analysis and ODEs

7 pages

Scientific paper

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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