In the paper, we consider simultaneous approximation of a pair of analytic functions by discrete shifts ζuN(s+ikh₁; ) and ζuN(s+ikh₂, α; ) 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 \(h₁log p:\! p∈\! ), (h₂log(m+α): m∈ ₀), 2π\ is linearly independent over .
No takes yet. Share an insight, caveat, or question.
Balčiūnas et al. (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: