 \varpi _n^{(\beta )}(z) = \mathop {\lim }\limits_{m \to \infty } \sum_{\substack{\rho \\ - {T_m} < \operatorname{Im} \rho  < 0}} {\frac{{\sigma_{0 - \rho /\beta }^{(\beta )}(n)}}{{\zeta '(\rho )}}{e^{\rho z}}}