Zeros of \zeta^{''}(s) & \zeta^{'''}(s) in \sigma< 1/2

Authors

CEM YALÇIN YILDIRIM

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 < {1\over 2} $.

DOI

-

First Page

89

Last Page

108

Recommended Citation

YILDIRIM, C. Y (2000). Zeros of \zeta^{''}(s) & \zeta^{'''}(s) in \sigma< 1/2. Turkish Journal of Mathematics 24 (1): 89-108. https://doi.org/-