Existence of a Sidon set for the distinct distance constant
Abstract
Abstract We highlight a certain compactness of Sidon sets and $$B_2[g]$$ B 2 [ g ] -sets and provide several applications. Notably, we prove the existence of such sets that maximize certain functions. In particular, we show the existence of a Sidon set whose reciprocal sum is equal to the distinct distance constant. We also improve the best known bounds for this constant.
Fields of Study & Subjects
advanced mathematical theories
Functional Equations Stability Results
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- Acta Mathematica Academiae Scientiarum Hungaricae
- Publisher
- Springer Science and Business Media LLC
- Volume
- 178
- Issue
- 2
- Pages
- 323–338
- Publication date
- 1 April 2026
- Language
- EN