The second moment of Sn(t) on the Riemann hypothesis

DOI10.1142/S1793042122500610zbMath1489.11117arXiv2006.08503OpenAlexW4205384549WikidataQ114071841 ScholiaQ114071841MaRDI QIDQ5865458

Andrés Chirre, Oscar E. Quesada-Herrera

Publication date: 9 June 2022

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

Full work available at URL: https://arxiv.org/abs/2006.08503

zbMATH Keywords

Riemann zeta-functionRiemann hypothesisargumentsecond moment

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (2)

A note on the mean values of the derivatives of 𝜁’/𝜁 ⋮ On the number variance of zeta zeros and a conjecture of Berry

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extreme values for \(S_n(\sigma,t)\) near the critical line
• On the function \(S(T)\) in the theory of the Riemann zeta-function
• Extreme values of the Riemann zeta function and its argument
• On the Riemann zeta-function -- mean value theorems and the distribution of \(|S(T)|\)
• Large values of the argument of the Riemann zeta-function and its iterates
• Bandlimited approximations and estimates for the Riemann zeta-function
• Bounding \(S(t)\) and \(S_1(t)\) on the Riemann hypothesis
• Lower order terms of the second moment of S(t)
• Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x). II
• Bounding S_n(t) on the Riemann hypothesis
• Gutzwiller's Trace Formula and Spectral Statistics: Beyond the Diagonal Approximation

This page was built for publication: The second moment of Sn(t) on the Riemann hypothesis