On mixed joint discrete universality for a class of zeta-functions

We prove a mixed joint discrete universality theorem for a Matsumoto zeta-function $\phi (s)$ (belonging to the Steuding subclass) and a periodic Hurwitz zeta-function $\zeta (s,\alpha ;\mathfrak{B})$. For this purpose, certain independence condition for the parameter $\alpha$ and the minimal step of discrete shifts of these functions is assumed. This paper is a continuation of authors’ works [12] and [arXiv:1601.03795].