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A universality theorem for the Riemann zeta-function with respect to Beatty sets
Authors:Sourmelidis  Athanasios
Institution:1.Institute of Mathematics, Würzburg University, Emil-Fischer-Str. 40, DE-97074, Würzburg, Germany
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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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