Continuity of Dirichlet series of $s$-dimensional lattices

In this work, Dirichlet series of $s$-dimensional lattices are studied. In particular, the theorem is proved that the Dirichlet series of $s$-dimensional lattices are continuous on the space of lattices in the region of their absolute convergence.
In conclusion, current problems for Dirichlet series of $s$-dimensional lattices that require further research are considered.