Explicit zero density for the Riemann zeta function

DOI10.1016/j.jmaa.2018.04.071zbMath1446.11158arXiv2101.12263OpenAlexW2801998207WikidataQ129898816 ScholiaQ129898816MaRDI QIDQ1635570

Nathan Ng, Habiba Kadiri, Allysa Lumley

Publication date: 31 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.12263

zbMATH Keywords

Riemann zeta functionzero densityexplicit results

Mathematics Subject Classification ID

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

Related Items

Some explicit and unconditional results on gaps between zeroes of the Riemann zeta-function ⋮ Explicit interval estimates for prime numbers ⋮ On the error term in the explicit formula of Riemann–von Mangoldt ⋮ Sharper bounds for the Chebyshev function \(\psi(x)\) ⋮ Some explicit estimates for the error term in the prime number theorem ⋮ Explicit zero density estimate for the Riemann zeta-function near the critical line ⋮ Corrigendum to ‘Explicit interval estimates for prime numbers’ ⋮ An improved explicit estimate for \(\zeta(1/2 + it)\) ⋮ Explicit bounds on \(\zeta (s)\) in the critical strip and a zero-free region ⋮ The error term in the prime number theorem ⋮ Two explicit divisor sums ⋮ Primes between consecutive powers ⋮ Sharper bounds for the Chebyshev function 𝜃(𝑥) ⋮ The Riemann hypothesis is true up to 3·1012 ⋮ New results for witnesses of Robin’s criterion

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