Prefer a chat interface with context about you and your work?
Zeros of the extended Selberg class zeta-functions and of their derivatives
Levinson and Montgomery proved that the Riemann zeta-function $\zeta(s)$ and its derivative have approximately the same number of non-real zeros left of the critical line. R. Spira showed that $\zeta'(1/2+it)=0$ implies $\zeta(1/2+it)=0$. Here we obtain that in small areas located to the left of the critical line and near it …