Weak Universality Theorem on the Approximation of Analytic Functions by Shifts of the Riemann Zeta-Function from a Beatty Sequence
20 jul 2018
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Publicado en línea: 20 jul 2018
Páginas: 131 - 146
Recibido: 15 abr 2016
Aceptado: 22 feb 2017
DOI: https://doi.org/10.1515/udt-2018-0007
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© 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.