Zeros of high derivatives of the Riemann zeta function

DOI10.1216/RMJ-2015-45-3-903zbMath1328.11089arXiv1002.0362MaRDI QIDQ491361

Filip Saidak, Sebastian Pauli, Thomas Binder

Publication date: 25 August 2015

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.0362

zbMATH Keywords

Riemann zeta functionhigh derivativeszero free region

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 (4)

Evaluating Fractional Derivatives of the Riemann Zeta Function ⋮ Unnamed Item ⋮ On the zeros of linear combinations of derivatives of the Riemann zeta function ⋮ Zero-free regions of the fractional derivatives of the Riemann zeta function

Uses Software

• SageMath

Cites Work

• Unnamed Item
• Unnamed Item
• Zero-free regions of derivatives of Riemann zeta function
• Geometrisches zur Riemannschen Zetafunktion
• On the zeros of \(\zeta'(s)\) near the critical line
• The horizontal distribution of zeros of \(\zeta'(s)\)
• A note on the zeros of the derivative of the Riemann zeta function near the critical line
• Zero-Free Regions of ζ(^k )(s)
• The Number of Zeros for ζ^(k) (s )
• Zeros of the derivatives of the Riemann zeta-function

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