Joint discrete universality for periodic zeta-functions. II

Abstract

In the paper, for certain classes of operators F in the space of analytic functions, we prove the discrete universality for compositions F (ζ(s, α ; 𝔞, 𝔟 )), where ζ(s, α ; 𝔞 ; 𝔟 ) is a collection consisting from periodic and periodic Hurwitz zeta-functions, i. e., the approximation of analytic functions by discrete shifts F (ζ(s + ikh, α ; 𝔞 ; 𝔟 )) with h > 0 and k = 0, 1, . . For this, a theorem of [12] is applied.