Changes of sign of the error term in the prime number theorem

DOI10.7169/facm/1229442626zbMath1196.11125OpenAlexW2018035394MaRDI QIDQ873779

Hugh L. Montgomery, Ulrike M. A. Vorhauer

Publication date: 20 March 2007

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

Full work available at URL: https://projecteuclid.org/euclid.facm/1229442626

zbMATH Keywords

Riemann HypothesisPrime Number Theorem

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Distribution of primes (11N05)

Related Items (3)

On the first sign change of $\theta (x) -x$ ⋮ Oscillations of a given size of some arithmetic error terms ⋮ Sign changes in the prime number theorem

Cites Work

• On sign-changes in the remainder-term of the prime-number formula, I
• The k-functions in multiplicative number theory. V. Changes of sign of some arithmetical error terms
• On the Distribution of Spacings Between Zeros of the Zeta Function
• A note on the distribution of primes

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