Improved results on the Mertens conjecture

DOI10.1090/S0025-5718-2013-02716-0zbMath1335.11073OpenAlexW2021349535WikidataQ123143367 ScholiaQ123143367MaRDI QIDQ2862537

Yannick Saouter, Herman J. J. te Riele

Publication date: 15 November 2013

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-2013-02716-0

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Software, source code, etc. for problems pertaining to number theory (11-04) Analytic computations (11Y35) Values of arithmetic functions; tables (11Y70)

Related Items (1)

Biased behavior of weighted Mertens sums

Cites Work

• Factoring polynomials with rational coefficients
• A sharp region where 𝜋(𝑥)-𝑙𝑖(𝑥) is positive
• Disproof of the Mertens conjecture.
• The Riemann zeta-function and its derivatives
• Results on the Möbius function
• Algorithmic Number Theory

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