The prime number race and zeros of \(L\)-functions off the critical line

DOI10.1215/S0012-7094-02-11324-6zbMath1010.11051OpenAlexW1987029514MaRDI QIDQ1847930

Kevin Ford, Sergei V. Konyagin

Publication date: 27 October 2002

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-02-11324-6

Mathematics Subject Classification ID

Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Primes in congruence classes (11N13)

Related Items (8)

A zero density estimate and fractional imaginary parts of zeros for L-functions ⋮ Prime number races with three or more competitors ⋮ Orderings of weakly correlated random variables, and prime number races with many contestants ⋮ Exceptional biases in counting primes over function fields ⋮ Inequalities between sums over prime numbers in progressions ⋮ Races with imaginary parts of zeros of the Riemann zeta function and Dirichlet \(L\)-functions ⋮ Inclusive prime number races ⋮ Biased behavior of weighted Mertens sums

Cites Work

• Unnamed Item
• On the Shanks-Rényi race problem mod 5
• Numerical Computations Concerning the ERH
• Quadratic Residues and the Distribution of Primes
• Comparative prime-number theory. I
• Details of the First Region of Integers x with π 3,2 (x) < π 3,1 (x)
• A CONTRIBUTION TO THE SHANKS-RÉNYI RACE PROBLEM
• Chebyshev's Bias
• On the Shanks-Rényi race problem
• Further developments in the comparative prime-number theory I

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