Universality Theorems for Some Composite Functions

Abstract

In [5], it was proved that a collection consisting from Dirichlet L-functions and periodic Hurwitz zeta-functions is universal in the sense that the shifts of those functions approximate simultaneously a given collection of analytic functions. In the paper, we prove theorems on the universality of composite functions of the above collection.

Keywords:

• Dirichlet L-function
• Hurwitz zeta-function
• mixed joint universality
• periodic Hurwitz zeta-function
• universality

AMS Subject Classification:

• 11M06
• 11M41