Joint universality of periodic zeta-functions with multiplicative coefficients
The periodic zeta-function is defined by the ordinary Dirichlet series with periodic coefficients. In the paper, joint universality theorems on the approximation of a collection of analytic functions by nonlinear shifts of periodic zeta-functions with multiplicative coefficients are obtained. These...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2020-09-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/nonlinear-analysis/article/view/19278 |
| _version_ | 1818337304973934592 |
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| author | Antanas Laurinčikas Monika Tekorė |
| author_facet | Antanas Laurinčikas Monika Tekorė |
| author_sort | Antanas Laurinčikas |
| collection | DOAJ |
| description | The periodic zeta-function is defined by the ordinary Dirichlet series with periodic coefficients. In the paper, joint universality theorems on the approximation of a collection of analytic functions by nonlinear shifts of periodic zeta-functions with multiplicative coefficients are obtained. These theorems do not use any independence hypotheses on the coefficients of zeta-functions. |
| first_indexed | 2024-12-13T14:53:06Z |
| format | Article |
| id | doaj.art-c75118ab201541c08e9be5a0c81766d7 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-13T14:53:06Z |
| publishDate | 2020-09-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-c75118ab201541c08e9be5a0c81766d72022-12-21T23:41:18ZengVilnius University PressNonlinear Analysis1392-51132335-89632020-09-0125510.15388/namc.2020.25.19278Joint universality of periodic zeta-functions with multiplicative coefficientsAntanas Laurinčikas0Monika Tekorė1Vilnius UniversityŠiauliai UniversityThe periodic zeta-function is defined by the ordinary Dirichlet series with periodic coefficients. In the paper, joint universality theorems on the approximation of a collection of analytic functions by nonlinear shifts of periodic zeta-functions with multiplicative coefficients are obtained. These theorems do not use any independence hypotheses on the coefficients of zeta-functions.https://www.journals.vu.lt/nonlinear-analysis/article/view/19278joint universalityperiodic zeta-functionspace of analytic functionsweak convergence |
| spellingShingle | Antanas Laurinčikas Monika Tekorė Joint universality of periodic zeta-functions with multiplicative coefficients Nonlinear Analysis joint universality periodic zeta-function space of analytic functions weak convergence |
| title | Joint universality of periodic zeta-functions with multiplicative coefficients |
| title_full | Joint universality of periodic zeta-functions with multiplicative coefficients |
| title_fullStr | Joint universality of periodic zeta-functions with multiplicative coefficients |
| title_full_unstemmed | Joint universality of periodic zeta-functions with multiplicative coefficients |
| title_short | Joint universality of periodic zeta-functions with multiplicative coefficients |
| title_sort | joint universality of periodic zeta functions with multiplicative coefficients |
| topic | joint universality periodic zeta-function space of analytic functions weak convergence |
| url | https://www.journals.vu.lt/nonlinear-analysis/article/view/19278 |
| work_keys_str_mv | AT antanaslaurincikas jointuniversalityofperiodiczetafunctionswithmultiplicativecoefficients AT monikatekore jointuniversalityofperiodiczetafunctionswithmultiplicativecoefficients |