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math.NT2026
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races
Alexandre Bailleul, Mounir Hayani, Théo Untrau
We study generalized Skewes' numbers, which are the locations of the first sign change between two comparable prime counting functions. In the context of the race between quadratic…
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…