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

Abstract

We present the most general at this moment results on the discrete mixed joint value-distribution (Theorems 5 and 6) and the universality property (Theorems 3 and 4) for the class of Matsumoto zeta-functions and periodic Hurwitz zeta-functions under certain linear independence condition on the relevant parameters, such as common differences of arithmetic progressions, prime numbers etc.

Keywords

• discrete shift
• Matsumoto zeta-function
• periodic Hurwitz zeta-function
• simultaneous approximation
• Steuding class
• value distribution