ON THE FUNCTIONAL INDEPENDENCE OF THE RIEMANN ZETA-FUNCTION-Reference-Cited by-同舟云学术

ON THE FUNCTIONAL INDEPENDENCE OF THE RIEMANN ZETA-FUNCTION

Published:2023-03-21 Issue:2 Volume:28 Page:352-359
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

Garbaliauskienė Virginija¹^ORCID,Macaitienė Renata²^ORCID,Šiaučiūnas Darius²^ORCID

Affiliation:

1. Faculty of Business and Technologies, Šiauliai State University of Applied Sciences, Aušros al. 40, LT-76241 Šiauliai, Lithuania

2. Institute of Regional Development, Šiauliai Academy, Vilnius University, P. Višinskio g. 25, LT-76153 Šiauliai, Lithuania

Abstract

In 1973, Voronin proved the functional independence of the Riemann zeta-function ζ(s), i.e., that ζ(s) and its derivatives do not satisfy a certain equation with continuous functions. In the paper, we obtain a joint version of the Voronin theorem.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

Reference35 articles.

1. B. Bagchi. The Statistical Behaviour and Universality Properties of the Riemann Zeta-Function and Other Allied Dirichlet Series. PhD Thesis, Indian Statistical Institute, Calcutta, 1981.

2. Neue Anwendungen der Theorie der Diophantischen Approximationen auf die Riemannsche Zetafunktion.

3. The lerch zeta-function∗

4. Ueber die Eigenschaft der Gammafunction keiner algebraischen Differentialgleichung zu genügen

5. Two Results Related to the Universality of Zeta-Functions with Periodic Coefficients

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