A conditional optimal upper bound for the argument of the Riemann zeta function on the critical line

DOI10.1134/S008154381703004XzbMath1430.11111OpenAlexW2625279389MaRDI QIDQ2399701

Yanyan Li

Publication date: 24 August 2017

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s008154381703004x

zbMATH Keywords

Riemann zeta-functionRiemann hypothesisHardy's \(Z\)-function

Mathematics Subject Classification ID

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

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Cites Work

• Unnamed Item
• Extreme values of the Riemann zeta function
• Error formulas for divided difference expansions and numerical differentiation
• Optimal upper bound for the maximum of the \(k\)-th derivative of Hardy's function
• An unexpected property of odd order derivatives of Hardy’s function
• The Theory of Hardy's Z-Function
• On the Riemann zeta‐function ζ( s )—Gaps between sign changes of S ( t )
• О функции S(t) в теории дзета-функции Римана

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