Explicit bounds on the logarithmic derivative and the reciprocal of the Riemann zeta-function

DOI10.7169/facm/2015.52.2.5zbMath1388.11062OpenAlexW1528742737MaRDI QIDQ1744828

Tim Trudgian

Publication date: 20 April 2018

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1434650880

zbMATH Keywords

prime number theoremRiemann zeta-functionzero-free region

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06)

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Cites Work

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• From explicit estimates for primes to explicit estimates for the Möbius function
• Computing $\pi (x)$ analytically
• Une région explicite sans zéros pour la fonction ζ de Riemann
• An improved estimate for the summatory function of the Möbius function

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