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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A note on $\zeta ''(s)$ and $\zeta '''(s)$


Author: C. Yalçin Yildirim
Journal: Proc. Amer. Math. Soc. 124 (1996), 2311-2314
MSC (1991): Primary 11M26
MathSciNet review: 1371146
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Abstract: There is only one pair of non-real zeros of $\zeta ''(s)$, and of $\zeta '''(s)$, in the left half-plane. The Riemann Hypothesis implies that $\zeta ''(s)$ and $\zeta '''(s)$ have no zeros in the strip $0 \leq \Re s < \frac 12 % $.


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Additional Information

C. Yalçin Yildirim
Affiliation: Department of Mathematics, Bilkent University, Ankara 06533, Turkey
Email: yalcin@fen.bilkent.edu.tr

DOI: http://dx.doi.org/10.1090/S0002-9939-96-03755-0
PII: S 0002-9939(96)03755-0
Received by editor(s): November 30, 1994
Communicated by: Dennis A. Hejhal
Article copyright: © Copyright 1996 American Mathematical Society