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math.NT2025
Prime Ideal Races With Several Competitors
A Bailleul, M Hayani
We investigate races among prime ideals in number fields when there are two or more competing conjugacy classes. In their work [4], Fiorilli and Jouve studied two-way races in numb…
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 ,…