Abstract
In the paper, a discrete universality theorem for the Hurwitz zeta-function ζ(s,α) on the approximation of analytic functions by shifts ζ(s+iτ,α) when τ takes values from the set {kβh:k=0,1,…} with fixed 0<β<1 and h>0 is obtained. For its proof, the uniform distribution modulo 1 is applied.
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