Weak Universality Theorem on the Approximation of Analytic Functions by Shifts of the Riemann Zeta-Function from a Beatty Sequence
| Jul 20, 2018
About this article
Published Online: Jul 20, 2018
Page range: 131 - 146
Received: Apr 15, 2016
Accepted: Feb 22, 2017
DOI: https://doi.org/10.1515/udt-2018-0007
Keywords
© 2018 Athanasios Sourmelidis, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
In this paper, we prove a discrete analogue of Voronin’s early finite-dimensional approximation result with respect to terms from a given Beatty sequence and make use of Taylor approximation in order to derive a weak universality statement.