A bias in Mertens’ product formula

DOI10.1142/S1793042116500068zbMath1408.11090arXiv1410.3777OpenAlexW1555656750MaRDI QIDQ5743846

Youness Lamzouri

Publication date: 8 February 2016

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

Full work available at URL: https://arxiv.org/abs/1410.3777

zbMATH Keywords

distribution of prime numberszeros of Riemann zeta functionMertens' formula

Mathematics Subject Classification ID

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

Related Items (4)

On the average value of ⋮ The Erdős conjecture for primitive sets ⋮ Biased behavior of weighted Mertens sums ⋮ Primes in prime number races

Cites Work

• Unnamed Item
• Oscillation of Mertens' product formula
• Approximate formulas for some functions of prime numbers
• On the constant in the Mertens product for arithmetic progressions. II: Numerical values
• Chebyshev's Bias

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