The Sidon constant of sets with three elements
Classical Analysis and ODEs
2007-05-23 v1 Functional Analysis
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 \sec(\pi / 2n) for n = max(n1-n0, n2-n0, n2-n1) / gcd(n1-n0, n2-n0).
Cite
@article{arxiv.math/0102145,
title = {The Sidon constant of sets with three elements},
author = {Stefan Neuwirth},
journal= {arXiv preprint arXiv:math/0102145},
year = {2007}
}
Comments
7 pages