Joint universality of Dirichlet \(L\)-functions and
Hurwitz zeta-functions

Abstract. In the paper, we prove a joint universality theorem of Voronin type for collections of Dirichlet \(L\)-functions and Hurwitz zeta-functions. From this theorem, we derive the universality for some class of functions from the above collections. For example, this shows that a product of Dirichlet \(L\)-functions and Hurwitz zeta-functions is universal.