On some averages at the zeros of the derivatives of the Riemann zeta-function

DOI10.1016/J.JNT.2011.04.007zbMath1287.11102OpenAlexW2056110017MaRDI QIDQ555296

Yunus Karabulut, Cem Yalçın Yıldırım

Publication date: 22 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2011.04.007

zbMATH Keywords

Riemann zeta-functionaveragederivative of the Riemann zeta-function

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 (1)

On some sums at thea-points of thek-th derivatives of the DirichletL-functions

Cites Work

• Mean values of the Riemann zeta-function and its derivatives
• More than one third of zeros of Riemann's zeta-function are on \(\sigma=1/2\)
• On The Tails of the Exponential Series
• Zero-Free Regions of ζ(^k )(s)
• The Number of Zeros for ζ^(k) (s )
• On a conjecture of Shanks
• Zeros of the derivatives of the Riemann zeta-function
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