On a Dirichlet series connected to a periodic Hurwitz zeta-function with transcendental and rational parameter

Abstract

In the paper, we construct an absolutely convergent Dirichlet series which in the mean is close to the periodic Hurwitz zeta-function, and has the universality property on the approximation of a wide class of analytic functions.

Keywords

• Haar measure
• periodic Hurwitz zeta-function
• space of analytic functions
• universality
• weak convergence