The sum involving derivative of \(\zeta(s)\) over simple zeros

DOI10.1016/j.jnt.2005.05.016zbMath1168.11318OpenAlexW1969040084MaRDI QIDQ2490150

Ayyadurai Sankaranarayanan, Moubariz Z. Garaev

Publication date: 28 April 2006

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2005.05.016

zbMATH Keywords

Cauchy's residue theoremDerivatives of the Riemann zeta-functionSimple zeros

Mathematics Subject Classification ID

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

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Cites Work

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• Mean values of the Riemann zeta-function and its derivatives
• On a series with simple zeros of \(\zeta(s)\)
• More than two fifths of the zeros of the Riemann zeta function are on the critical line.
• Simple Zeros of the Riemann Zeta-Function on the Critical Line
• Simple Zeros of the Riemann Zeta-Function
• Notes on the Riemann zeta-function, II