| Title |
Joint universality of periodic zeta-functions with multiplicative coefficients. II |
| Authors |
Laurinčikas, Antanas ; Šiaučiūnas, Darius ; Tekorė, Monika |
| DOI |
10.15388/namc.2021.26.23934 |
| Full Text |
|
| Is Part of |
Nonlinear analysis: modelling and control.. Vilnius : Vilniaus universiteto leidykla. 2021, vol. 26, no. 3, p. 550-564.. ISSN 1392-5113. eISSN 2335-8963 |
| Keywords [eng] |
joint universality ; nontrivial zeros of the Riemann zeta-function ; periodic zeta-function,space of analytic functions ; weak convergence |
| Abstract [eng] |
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. |
| Published |
Vilnius : Vilniaus universiteto leidykla |
| Type |
Journal article |
| Language |
English |
| Publication date |
2021 |
| CC license |
|
