An improved explicit estimate for \(\zeta(1/2 + it)\)

DOI10.1016/j.jnt.2023.09.003arXiv2207.02366OpenAlexW4388163817MaRDI QIDQ6184609

Ghaith Ayesh Hiary, Dhir Patel, Andrew Yang

Publication date: 25 January 2024

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

Full work available at URL: https://arxiv.org/abs/2207.02366

zbMATH Keywords

exponential sumsRiemann zeta-functionvan der Corput estimate

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) (zeta (s)) and (L(s, chi)) (11M06)

Related Items (1)

Explicit bounds on \(\zeta (s)\) in the critical strip and a zero-free region

Cites Work

• An explicit van der Corput estimate for \(\zeta(1/2+it)\)
• An improved explicit bound on \(| \zeta(\frac{1}{2} + i t) |\)
• Explicit zero density for the Riemann zeta function
• An explicit upper bound for \(|\zeta (1 + i t)|\)
• On explicit estimates for \(S(t)\), \(S_1(t)\), and \(\zeta ( 1 / 2 + \operatorname{i} t )\) under the Riemann hypothesis
• On the Distribution of Zeros of the Riemann Zeta-Function
• On the error term in the explicit formula of Riemann–von Mangoldt

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