A Weighted Discrete Universality Theorem for Periodic Zeta-Functions. II
DOI: https://doi.org/10.3846/13926292.2017.1365779Abstract
In the paper, a weighted theorem on the approximation of a wide class of analytic functions by shifts ζ(s + ikαh; a), k ∈ N, 0 < α < 1, and h > 0, of the periodic zeta-function ζ(s; a) with multiplicative periodic sequence a, is obtained.
Keywords:
Hurwitz zeta-function, Mergelyan theorem, periodic zeta-function, universalityHow to Cite
Macaitienė, R., Stoncelis, M., & Šiaučiūnas, D. (2017). A Weighted Discrete Universality Theorem for Periodic Zeta-Functions. II. Mathematical Modelling and Analysis, 22(6), 750-762. https://doi.org/10.3846/13926292.2017.1365779
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Copyright (c) 2017 The Author(s). Published by Vilnius Gediminas Technical University.
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2017-11-27
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Copyright
Copyright (c) 2017 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Macaitienė, R., Stoncelis, M., & Šiaučiūnas, D. (2017). A Weighted Discrete Universality Theorem for Periodic Zeta-Functions. II. Mathematical Modelling and Analysis, 22(6), 750-762. https://doi.org/10.3846/13926292.2017.1365779