A discrete mean-value theorem for the higher derivatives of the Riemann zeta function

DOI10.1016/J.JNT.2022.03.004zbMath1498.11174arXiv2106.03005OpenAlexW3171750364WikidataQ113870309 ScholiaQ113870309MaRDI QIDQ2167494

Christopher Hughes, Andrew Pearce-Crump

Publication date: 25 August 2022

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

Full work available at URL: https://arxiv.org/abs/2106.03005

zbMATH Keywords

Riemann zeta functionShanks' conjecture

Mathematics Subject Classification ID

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

Cites Work

• On the distribution of values of the derivative of the Riemann zeta function at its zeros. I
• Mean values of the Riemann zeta-function and its derivatives
• A zero-density theorem for the Riemann zeta-function
• Complements to Li's criterion for the Riemann Hypothesis
• On a conjecture of Shanks
• On a conjecture of Shanks
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