Article
Weak Universality Theorem on the Approximation of Analytic Functions by Shifts of the Riemann Zeta-Function from a Beatty Sequence
Authors
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 uni- versality statement.
Keywords
Universality, Riemann zeta-function, Beatty sequences.
Citation
Sourmelidis, A. (2018). Weak universality theorem on the approximation of analytic functions by shifts of the riemann zeta-function from a beatty sequence. Uniform Distribution Theory, 13(1), 131–146. https://doi.org/10.1515/udt-2018-0007
A. Sourmelidis, “Weak universality theorem on the approximation of analytic functions by shifts of the riemann zeta-function from a beatty sequence,” Uniform Distribution Theory, vol. 13, no. 1, pp. 131–146, 2018, doi: 10.1515/udt-2018-0007.
Sourmelidis A. Weak universality theorem on the approximation of analytic functions by shifts of the riemann zeta-function from a beatty sequence. Uniform Distribution Theory. 2018;13(1):131–146. doi:10.1515/udt-2018-0007.
Sourmelidis, A. (2018), ‘Weak universality theorem on the approximation of analytic functions by shifts of the riemann zeta-function from a beatty sequence’, Uniform Distribution Theory, 13(1), pp. 131–146. Available at: https://doi.org/10.1515/udt-2018-0007.
Sourmelidis, Athanasios. “Weak Universality Theorem on the Approximation of Analytic Functions by Shifts of the Riemann Zeta-function from a Beatty Sequence.” Uniform Distribution Theory, vol. 13, no. 1, 2018, pp. 131–146. https://doi.org/10.1515/udt-2018-0007.
Sourmelidis, Athanasios. “Weak Universality Theorem on the Approximation of Analytic Functions by Shifts of the Riemann Zeta-function from a Beatty Sequence.” Uniform Distribution Theory 13, no. 1 (2018): 131–146. https://doi.org/10.1515/udt-2018-0007.
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Published by: Engineering Journals
