<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

Weak Universality Theorem on the Approximation of Analytic Functions by Shifts of the Riemann Zeta-Function from a Beatty Sequence

athanasios.sourmelidis@mathematik.uni-wuerzburg.de

Institute for Mathematics, Chair of Mathematics IV

Uniform distribution theory

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...

Weak Universality Theorem on the Approximation of Analytic Functions by Shifts of the Riemann Zeta-Function from a Beatty Sequence

Publié en ligne: 20 juil. 2018

Pages: 131 - 146

Reçu: 15 avr. 2016

Accepté: 22 févr. 2017

DOI: https://doi.org/10.1515/udt-2018-0007

Mots clés
Universality, Riemann zeta-function, Beatty sequences

© 2018 Athanasios Sourmelidis, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Weak Universality Theorem on the Approximation of Analytic Functions by Shifts of the Riemann Zeta-Function from a Beatty Sequence

Publié en ligne: 20 juil. 2018

Pages: 131 - 146

Reçu: 15 avr. 2016

Accepté: 22 févr. 2017

DOI: https://doi.org/10.1515/udt-2018-0007

Mots clésUniversality, Riemann zeta-function, Beatty sequences

© 2018 Athanasios Sourmelidis, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
Universality, Riemann zeta-function, Beatty sequences