M. Jasas, A. Laurinčikas, M. Stoncelis, D. Šiaučiūnas
{"title":"Discrete Universality of absolutely convergent Dirichlet Series","authors":"M. Jasas, A. Laurinčikas, M. Stoncelis, D. Šiaučiūnas","doi":"10.3846/mma.2022.15069","DOIUrl":null,"url":null,"abstract":"In the paper, an universality theorem of discrete type on the approximation of analytic functions by shifts of a special absolutely convergent Dirichlet series is obtained. These series is close in a certain sense to the periodic zeta-function and depends on a parameter.","PeriodicalId":49861,"journal":{"name":"Mathematical Modelling and Analysis","volume":"14 1","pages":"78-87"},"PeriodicalIF":1.6000,"publicationDate":"2022-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Modelling and Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3846/mma.2022.15069","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 3
Abstract
In the paper, an universality theorem of discrete type on the approximation of analytic functions by shifts of a special absolutely convergent Dirichlet series is obtained. These series is close in a certain sense to the periodic zeta-function and depends on a parameter.