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math.CO2026
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 …
math.CO2026
On the largest Sidon subset in a finite subset of
Alexandre Bailleul, Robin Riblet
We obtain a new lower bound on the largest Sidon subset of an arbitrary finite set of integers. If denotes the minimum, over all -element subsets of , of the l…