Joint universality of periodic zeta-functions with multiplicative coefficients. II
Articles
Antanas Laurinčikas
Vilnius University
https://orcid.org/0000-0002-7671-0282
Darius Šiaučiūnas
Šiauliai Academy, Vilnius University
https://orcid.org/0000-0002-9248-8917
Monika Tekorė
Vilnius University
https://orcid.org/0000-0002-3968-3377
Published 2021-05-01
https://doi.org/10.15388/namc.2021.26.23934
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Keywords

joint universality
nontrivial zeros of the Riemann zeta-function
periodic zeta-function
space of analytic functions
weak convergence

How to Cite

Laurinčikas A., Šiaučiūnas D. and Tekorė M. (2021) “Joint universality of periodic zeta-functions with multiplicative coefficients. II”, Nonlinear Analysis: Modelling and Control, 26(3), pp. 550-564. doi: 10.15388/namc.2021.26.23934.

Abstract

In the paper, a joint discrete universality theorem for periodic zeta-functions with multiplicative coefficients on the approximation of analytic functions by shifts involving the sequence f kg of imaginary parts of nontrivial zeros of the Riemann zeta-function is obtained. For its proof, a weak form of the Montgomery pair correlation conjecture is used. The paper is a continuation of [A. Laurinčikas, M. Tekorė, Joint universality of periodic zeta-functions with multiplicative coefficients, Nonlinear Anal. Model. Control, 25(5):860–883, 2020] using nonlinear shifts for approximation of analytic functions.

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