Zeros of Dirichlet \(L\)-functions near the real axis and Chebyshev's bias

DOI10.1006/jnth.2000.2601zbMath1009.11057OpenAlexW2025753993MaRDI QIDQ5931955

Michael O. Rubinstein, Carter Bays, Kevin Ford, Richard H. Hudson

Publication date: 1 May 2003

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2000.2601

zbMATH Keywords

Chebyshev's biascomparative prime number theoryprimes in progressions

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Primes in congruence classes (11N13)

Related Items (3)

Counting primes in residue classes ⋮ Computing $L$-functions with large conductor ⋮ A new bound for the smallest $x$ with $\pi(x) > \mathrm{li}(x)$

Cites Work

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• Heegner points and derivatives of \(L\)-series
• Numerical and graphical description of all axis crossing regions for the moduli 4 and 8 which occur before \(10^{12}\)
• A complete determination of the complex quadratic fields of class-number one
• Sign changes in π_q,a(x)-π_q,b(x)
• Numerical Computations Concerning the ERH
• Note on the Distribution of Prime Numbers
• Quadratic Residues and the Distribution of Primes
• Computing π(x): The Meissel-Lehmer Method
• Averaging Effects on Irregularities in the Distribution of Primes in Arithmetic Progressions
• Comparative prime-number theory. I
• A common combinatorial principle underlies Riemann's formula, the Chebyshev phenomenon, and other subtle effects in comparative prime number theory. I.
• The imaginary quadratic fields of class number 4
• On Small Zeros of Dirichlet L-Functions
• On Complex Quadratic Fields with Class-Number Two
• A formula for the exact number of primes below a given bound in any arithmetic progression
• The mean behavior of primes in arithmetic progressions.
• Details of the First Region of Integers x with π 3,2 (x) < π 3,1 (x)
• Zeroes of zeta functions and symmetry
• A CONTRIBUTION TO THE SHANKS-RÉNYI RACE PROBLEM
• Imaginary quadratic fields with small odd class number
• Notes on small class numbers
• Chebyshev's Bias
• ON THE DISTRIBUTION OF PRIMES (mod4)
• Zeroes of Dirichlet $L$-functions and irregularities in the distribution of primes
• A new bound for the smallest $x$ with $\pi(x) > \mathrm{li}(x)$
• Small zeros of quadratic L-functions
• On Complex Quadratic Fields with Class Number Equal to One
• On the difference π(x) - li(x)
• On Epstein's Zeta-function.

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