A new bound for the smallest $x$ with $\pi(x) > \mathrm{li}(x)$

DOI10.1090/S0025-5718-99-01104-7zbMath1042.11001OpenAlexW1675900842WikidataQ56210592 ScholiaQ56210592MaRDI QIDQ4955875

Richard H. Hudson, Carter Bays

Publication date: 22 May 2000

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-99-01104-7

Mathematics Subject Classification ID

Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Distribution of primes (11N05) Analytic computations (11Y35)

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Cites Work

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• On the Difference π(x ) − lix (II)
• Computing π(x): The Meissel-Lehmer Method
• Averaging Effects on Irregularities in the Distribution of Primes in Arithmetic Progressions
• On the Zeros of the Riemann Zeta Function in the Critical Strip. IV
• On the Sign of the Difference π(x) - li(x)
• On the Difference π(x )-li(x ) (I)
• On the incompatibility of two conjectures concerning primes; a discussion of the use of computers in attacking a theoretical problem
• Chebyshev's Bias
• Computing 𝜋(𝑥): the Meissel, Lehmer, Lagarias, Miller, Odlyzko method
• Zeroes of Dirichlet $L$-functions and irregularities in the distribution of primes
• On the difference π(x) - li(x)
• Prime numbers and computer methods for factorization
• Zeros of Dirichlet \(L\)-functions near the real axis and Chebyshev's bias

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