On discrete universality in the Selberg–Steuding class

Let $\mathcal{S}$ be the class of Dirichlet series introduced by Selberg and modified by Steuding, and let $\{\gamma_k: k \in {{\Bbb N}} \}$ be the sequence of the imaginary parts of the nontrivial zeros of the Riemann zeta-function. Using the modified Montgomery's pair correlation conjecture, we prove a universality theorem for a function $L(s)$ in $\mathcal{S}$ on approximation of analytic functions by the shifts $L(s+ih\gamma_k)$, $h>0$.