A note on 𝜁”(𝑠) and 𝜁”’(𝑠)

Yıldırım, C.

doi:10.1090/S0002-9939-96-03755-0

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
DOI: https://doi.org/10.1090/S0002-9939-96-03755-0
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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