JOINT DISCRETE APPROXIMATION OF A PAIR OF ANALYTIC FUNCTIONS BY PERIODIC ZETA-FUNCTIONS-Reference-Cited by-同舟云学术

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

Published:2020-01-13 Issue:1 Volume:25 Page:71-87
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

Balčiūnas Aidas¹,Garbaliauskienė Virginija²,Karaliūnaitė Julija³,Macaitienė Renata²,Petuškinaitė Jurgita¹,Rimkevičienė Audronė⁴

Affiliation:

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

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

3. Faculty of Fundamental Sciences, Vilnius Gediminas Technical University, Saulėtekio av. 11, LT-10223 Vilnius, Lithuania

4. Faculty of Business and Technologies, Šiauliai State College, Aušros av. 40, LT-76241, Šiauliai, Lithuania

Abstract

In the paper, the problem of simultaneous approximation of a pair of analytic functions by a pair of discrete shifts of the periodic and periodic Hurwitz zeta-function is considered. The above shifts are deﬁned by using the sequence of imaginary parts of non-trivial zeros of the Riemann zeta-function. For the proof of approximation theorems, a weak form of the Montgomery pair correlation conjecture is applied.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

Reference35 articles.

1. ON APPROXIMATION OF ANALYTIC FUNCTIONS BY PERIODIC HURWITZ ZETA-FUNCTIONS

2. ON DISCRETE VALUE DISTRIBUTION OF CERTAIN COMPOSITIONS

3. Discrete mean square of the Riemann zeta-function over imaginary parts of its zeros

4. The Riemann hypothesis and universality of the Riemann zeta-function

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