Joint weighted universality of the Hurwitz zeta-functions
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- by A. Laurinčikas and G. Vadeikis
- St. Petersburg Math. J. 33 (2022), 511-522
- DOI: https://doi.org/10.1090/spmj/1712
- Published electronically: May 5, 2022
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Abstract:
Joint weighted universality theorems are proved concerning simultaneous approximation of a collection of analytic functions by a collection of shifts of Hurwitz zeta-functions with parameters $\alpha _1,\dots ,\alpha _r$. For this, linear independence is required over the field of rational numbers for the set $\{\log (m+\alpha _j)\,:\, m\in \mathbb {N}_0=\mathbb {N}\cup \{0\},\;j=1,\dots ,r\}$.References
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Bibliographic Information
- A. Laurinčikas
- Affiliation: Institute of Mathematics, Faculty of Mathematics and Informatics, Vilnius University, Naugarduko str. 24, LT-03225, Vilnius, Lithuania
- Email: laurincikas@mif.vu.lt
- G. Vadeikis
- Affiliation: Institute of Mathematics, Faculty of Mathematics and Informatics, Vilnius University, Naugarduko str. 24, LT-03225, Vilnius, Lithuania
- Email: gediminas.vadeikis@mif.vu.lt
- Received by editor(s): September 11, 2019
- Published electronically: May 5, 2022
- Additional Notes: The research of the first author was funded by the European Social Fund according to the activity “Improvement of researchers” qualification by implementing world-class R&D projects’ of Measure no. 09.3.3-LMT-K-712-01-0037.
- © Copyright 2022 American Mathematical Society
- Journal: St. Petersburg Math. J. 33 (2022), 511-522
- MSC (2020): Primary 11M35
- DOI: https://doi.org/10.1090/spmj/1712
- MathSciNet review: 4445782