Optimal upper bound for the maximum of the \(k\)-th derivative of Hardy's function

DOI10.1016/j.jnt.2015.02.009zbMath1317.11085OpenAlexW2069861367MaRDI QIDQ2343176

Yanyan Li

Publication date: 4 May 2015

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.02.009

zbMATH Keywords

Riemann zeta functionHardy's function

Mathematics Subject Classification ID

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

Related Items (2)

A New Reason for Doubting the Riemann Hypothesis ⋮ A conditional optimal upper bound for the argument of the Riemann zeta function on the critical line

Cites Work

• The Riemann zeta-function. Transl. from the Russian by Neal Koblitz
• Uniform approximations and zeros of the derivatives of the Hardy \(Z\)- function in short intervals
• Sommes exponentielles, splines quadratiques et fonction zêta de Riemann
• An unexpected property of odd order derivatives of Hardy’s function
• The Theory of Hardy's Z-Function

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