Unconditional construction of moduli sequences forces generalized Skewes numbers to grow rapidly in quadratic-residue races, disproving Fiorilli's conjecture, with conditional upper bounds under GRH and effective linear independence via quantitative Wasserstein convergence rates.
Comput.87(2018), no
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A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races
Unconditional construction of moduli sequences forces generalized Skewes numbers to grow rapidly in quadratic-residue races, disproving Fiorilli's conjecture, with conditional upper bounds under GRH and effective linear independence via quantitative Wasserstein convergence rates.