Joint universality of Dirichlet L-functions and periodic Hurwitz zeta-functions

Abstract

In the paper, we prove that every system of analytic functions can be approximated simultaneously uniformly on compact subsets of some region by a collection consisting of shifts of Dirichlet L-functions with pairwise non-equivalent characters and periodic Hurwitz zeta-functions with parameters algebraically independent over the field of rational numbers.

Keywords

• Dirichlet L-function
• limit theorem
• periodic Hurwitz zeta-function
• space of analytic functions
• universality