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arXiv · 2505.20851

Existence of a Sidon set for the distinct distance constant

Robin Riblet·Titien Schehr
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Abstract

We highlight a certain compactness of Sidon sets and $B_2[g]$-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.

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Robin Riblet, Titien Schehr. 2026-04-12. Existence of a Sidon set for the distinct distance constant. https://arxiv.org/abs/2505.20851

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