On universality of general Dirichlet series

In the present work, we establish sufficient conditions for a Dirichlet series induced by general frequencies to be universal with respect to vertical translations. Our results can be applied to known universal objects such as Hurwitz zeta functions and also can provide new examples of universal Dirichlet series including the alternating prime zeta function ${\sum }_{n\ge 1}(-1{)}^n{p}_n^{-s}$.