t $$\begin{aligned}   \varpi _n^{(\beta )}(z) &= \overline {\sum_{\substack{\rho \\ 0 < \operatorname{Im} \rho  < {T_m}}} {\overline {\frac{{\sigma_{0 - \rho /\beta }^{(\beta )}(n)}}{{\zeta '(\rho )}}{e^{\rho z}}} } } 