The Sidon constant of sets with three elements

2001/02/19 by Stefan Neuwirth, Neuwirth, Stefan
Mathematics · #42A05 #Advanced Banach Space Theory #Classical Analysis and ODEs (math.CA) #Computer science #Constant (computer programming) #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results #History #Holomorphic and Operator Theory #Mathematics #Programming language #math.CA #math.FA #msc:42A05

paper · pdf · doi:10.48550/arxiv.math/0102145

7 pages

arxiv created 2001/02/19 · openalex publication_date 2001/02/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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(π/ 2n) for n = max(n1-n0, n2-n0, n2-n1) / gcd(n1-n0, n2-n0).

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