Abstract
We prove that, for given positive numbers α and h, the Riemann zeta-function ζ can approximate any nonvanishing analytic function on a simply connected compact subset of the right open half of the critical strip by shifts of type ζ(s + ih⌊αn⌋).
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Sourmelidis, A. A universality theorem for the Riemann zeta-function with respect to Beatty sets. Lith Math J 60, 92–106 (2020). https://doi.org/10.1007/s10986-019-09457-6
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DOI: https://doi.org/10.1007/s10986-019-09457-6