On the error term in the explicit formula of Riemann–von Mangoldt

DOI10.1142/s1793042123500598arXiv2111.10001OpenAlexW3217369115MaRDI QIDQ6107928

Daniel R. Johnston, Michaela Cully-Hugill

Publication date: 28 June 2023

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

Full work available at URL: https://arxiv.org/abs/2111.10001

zbMATH Keywords

Riemann zeta-functiondistribution of primesgaps between primesRiemann-von Mangoldt formula

Mathematics Subject Classification ID

Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Distribution of primes (11N05) Values of arithmetic functions; tables (11Y70)

Related Items (5)

The error term in the truncated Perron formula for the logarithm of an L-function ⋮ Sharper bounds for the Chebyshev function \(\psi(x)\) ⋮ Some explicit estimates for the error term in the prime number theorem ⋮ NEW EFFECTIVE RESULTS IN THE THEORY OF THE RIEMANN ZETA-FUNCTION ⋮ An improved explicit estimate for \(\zeta(1/2 + it)\)

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