A note on 𝜁”(𝑠) and 𝜁”’(𝑠)

Yıldırım, C.

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

A note on $\zeta ”(s)$ and $\zeta ”’(s)$
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by C. Yalçın Yıldırım PDF

Proc. Amer. Math. Soc. 124 (1996), 2311-2314 Request permission

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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