The prime number race and zeros of \(L\)-functions off the critical line
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Publication:1847930
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
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
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- 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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