Densities in certain three-way prime number races

DOI10.4153/S0008414X20000747zbMath1497.11235arXiv1908.10902MaRDI QIDQ5029494

Jiawei Lin, Greg Martin

Publication date: 14 February 2022

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.10902

zbMATH Keywords

prime number racesanalytic number theory

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Subgroup theorems; subgroup growth (20E07) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Primes in congruence classes (11N13) Probabilistic theory: distribution modulo (1); metric theory of algorithms (11K99)

Cites Work

• Explicit bounds for primes in arithmetic progressions
• The papers of Gaetano Scorza on group theory
• Prime number races with three or more competitors
• The Shanks-Rényi prime number race with many contestants
• Orderings of weakly correlated random variables, and prime number races with many contestants
• Groups as Unions of Proper Subgroups
• Chebyshev's Bias
• Inequities in the Shanks–Rényi prime number race: An asymptotic formula for the densities
• Approximations to Multivariate Normal Orthant Probabilities
• On the complex zeros of the Bessel functions
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