A discrete version of the Mishou theorem related to periodic zeta-functions

Abstract

In the paper, we consider simultaneous approximation of a pair of analytic functions by discrete shifts and of the absolutely convergent Dirichlet series connected to the periodic zeta-function with multiplicative sequence a, and the periodic Hurwitz zeta-function, respectively. We suppose that and as and the set is linearly independent over

Keywords

• Mishou theorem
• periodic zeta-function
• periodic Hurwitz zeta-function
• universality