Joint Universality of Certain Dirichlet Series

Joint Universality of Certain Dirichlet Series

In this paper, we define the Dirichlet series , , absolutely converging in the half-plane and prove that the set of shifts approximating a given set of analytic functions has a positive density on the interval , as . Here are algebraic numbers linearly independent over and as .

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Veröffentlicht in:Mathematical Notes 2022-02, Vol.111 (1-2), p.13-19
Hauptverfasser: Garbaliauskienė, V., Šiaučiūnas, D.
Format: Artikel
Sprache:eng
Schlagworte:
14/34
639/766/189
639/766/530
639/766/747
Analytic functions
Dirichlet problem
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung:In this paper, we define the Dirichlet series , , absolutely converging in the half-plane and prove that the set of shifts approximating a given set of analytic functions has a positive density on the interval , as . Here are algebraic numbers linearly independent over and as .
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S0001434622010035