A WEIGHTED VERSION OF THE MISHOU THEOREM-Reference-Cited by-同舟云学术

A WEIGHTED VERSION OF THE MISHOU THEOREM

Published:2021-01-18 Issue:1 Volume:26 Page:21-33
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

Laurinčikas Antanas¹^ORCID,Šiaučiūnas Darius²^ORCID,Vadeikis Gediminas¹^ORCID

Affiliation:

1. Institute of Mathematics, Faculty of Mathematics and Informatics, Vilnius University, Naugarduko g. 24, LT-03225 Vilnius, Lithuania

2. Institute of Regional Development, Šiauliai University, P. Višinskio g. 25, LT-76351 Šiauliai, Lithuania

Abstract

In 2007, H. Mishou obtained a joint universality theorem for the Riemann and Hurwitz zeta-functions ζ(s) and ζ(s,α) with transcendental parameter α on the approximation of a pair of analytic functions by shifts (ζ(s+iτ),ζ(s+iτ,α)), τ R. In the paper, the Mishou theorem is generalized for the set of above shifts having a weighted positive lower density. Also, the case of a positive density is considered.

Publisher

Vilnius Gediminas Technical University

Subject

Modelling and Simulation,Analysis

Reference32 articles.

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2. JOINT DISCRETE APPROXIMATION OF A PAIR OF ANALYTIC FUNCTIONS BY PERIODIC ZETA-FUNCTIONS

3. A. Balčiūnas and G. Vadeikis. A weighted universality throrem for the Hurwitz zeta-function. Šiauliai Math. Semin., 12(20):5–18, 2017.

4. P. Billingsley. Convergence of Probability Measures. Willey, New York, 1968.

5. ON ZEROS OF SOME COMBINATIONS OF DIRICHLET L-FUNCTIONS AND HURWITZ ZETA-FUNCTIONS

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