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math.CO2025
Existence of a Sidon set for the distinct distance constant
Robin Riblet, Titien Schehr
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. I…
math.CO2025
Large subsets avoiding algebraic patterns
Alexandre Bailleul, Robin Riblet
We prove the existence of a subset of the torus with large sumsets and avoiding all linear patterns. This extends a result of Körner, who had shown that for any integer ,…