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In the paper, we consider simultaneous approximation of a pair of analytic functions by discrete shifts ₔ₍ (s+ikh₁;) and ₔ₍ (s+ikh₂, ;) of the absolutely convergent Dirichlet series connected to the periodic zeta-function with multiplicative sequence, and the periodic Hurwitz zeta-function, respectively. We suppose that uN and uN N² as N, and the set \ (h₁ p: \! p\!), (h₂ (m+): m ₀), 2\ is linearly independent over.
Balčiūnas et al. (Tue,) studied this question.
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