An explicit upper bound for \(|\zeta (1 + i t)|\)

DOI10.1016/j.indag.2022.04.007zbMath1498.11176arXiv2009.00769OpenAlexW4280566469WikidataQ113872386 ScholiaQ113872386MaRDI QIDQ2166105

Dhir Patel

Publication date: 23 August 2022

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.00769

zbMATH Keywords

Riemann zeta functionexponential sumsvan der Corput estimateCheng-Graham lemmaexplicit derivative testsvan der Corput test

Mathematics Subject Classification ID

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

Related Items (6)

Sharper bounds for the Chebyshev function \(\psi(x)\) ⋮ Some explicit estimates for the error term in the prime number theorem ⋮ Estimates for \(L\)-functions in the critical strip under GRH with effective applications ⋮ An improved explicit estimate for \(\zeta(1/2 + it)\) ⋮ Explicit bounds on \(\zeta (s)\) in the critical strip and a zero-free region ⋮ Primes between consecutive powers

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