Abstract
In the paper, a weighted theorem on the approximation of a wide class of analytic functions by shifts ζ(s + ikαh; 𝔞), k ∈ ℕ, 0 < α < 1, and h > 0, of the periodic zeta-function ζ(s; 𝔞) with multiplicative periodic sequence 𝔞, is obtained.
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