Existence of a Sidon set for the distinct distance constant
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910121481732096 |
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| author | Riblet, Robin Schehr, Titien |
| author_facet | Riblet, Robin Schehr, Titien |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_20851 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Existence of a Sidon set for the distinct distance constant Riblet, Robin Schehr, Titien Combinatorics Number Theory 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. |
| title | Existence of a Sidon set for the distinct distance constant |
| topic | Combinatorics Number Theory |
| url | https://arxiv.org/abs/2505.20851 |