Existence of a Sidon set for the distinct distance constant
Combinatorics
2026-04-14 v2 Number Theory
Abstract
We highlight a certain compactness of Sidon sets and -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.
Cite
@article{arxiv.2505.20851,
title = {Existence of a Sidon set for the distinct distance constant},
author = {Robin Riblet and Titien Schehr},
journal= {arXiv preprint arXiv:2505.20851},
year = {2026}
}