Výsledky vyhledávání - "Bailleul, Alexandre"

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Exceptional biases in counting primes over functions fields

Autor: Bailleul, Alexandre, Devin, Lucile, Keliher, Daniel, Li, Wanlin

We study how often exceptional configurations of irreducible polynomials over finite fields occur in the context of prime number races and Chebyshev's bias. In particular, we show that three types of biases, which we call "complete bias", "lower orde

Externí odkaz: http://arxiv.org/abs/2302.13665

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Explicit Kronecker-Weyl theorems and applications to prime number races

Autor: Bailleul, Alexandre

We prove explicit versions of the Kronecker-Weyl theorems, both in a discrete and a continuous settings, without any linear independence hypothesis. As an application, we propose an alternative approach to problems concerning asymptotic densities in

Externí odkaz: http://arxiv.org/abs/2007.05763

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Chebyshev's bias in dihedral and generalized quaternion Galois groups

Autor: Bailleul, Alexandre

Publikováno v: Alg. Number Th. 15 (2021) 999-1041

We study the inequities in the distribution of Frobenius elements in Galois extensions of the rational numbers with Galois groups that are either dihedral $D_{2n}$ or (generalized) quaternion $\mathbb H_{2n}$ of two-power order. In the spirit of rece

Externí odkaz: http://arxiv.org/abs/2001.06671

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