Limiting Properties of the Distribution of Primes in an Arbitrarily Large Number of Residue Classes

DOI10.4153/S0008439520000089zbMath1462.11061arXiv1909.03975MaRDI QIDQ5148081

Lucile Devin

Publication date: 29 January 2021

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.03975

zbMATH Keywords

Chebyshev's biasregularity of measurealmost-periodic function

Mathematics Subject Classification ID

Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Harmonic analysis and almost periodicity in probabilistic number theory (11K70) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Related Items (4)

Explicit Kronecker-Weyl theorems and applications to prime number races ⋮ Inequities in the Shanks–Renyi prime number race over function fields ⋮ Chebyshev's bias for products of irreducible polynomials ⋮ Erratum: Limiting properties of the distribution of primes in an arbitrarily large number of residue classes

Cites Work

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• LIMITING DISTRIBUTIONS OF THE CLASSICAL ERROR TERMS OF PRIME NUMBER THEORY
• Prime number races for elliptic curves over function fields
• The Large Sieve, Monodromy, and Zeta Functions of Algebraic Curves, 2: Independence of the Zeros
• Chebyshev’s bias in function fields
• Chebyshev's conjecture and the prime number race
• Almost periodicity of some error terms in prime number theory
• Independence of the Zeros of Elliptic Curve L-Functions over Function Fields
• Chebyshev's Bias
• Inclusive prime number races
• Primes in prime number races
• Prime Number Races

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