chebЧебышевский сборникChebyshevskii Sbornik2226-8383Tula State Lev Tolstoy Pedagogical University10.22405/2226-8383-2014-15-4-139-147cheb-90Research ArticleСтатьиArticleО ПЕРИОДИЧЕСКОЙ ДЗЕТА-ФУНКЦИИON THE PERIODIC ZETA-FUNCTIONСтонцелисМ.StoncelisM.ШяучюнасД.Siauˇci¯unasD.Шяуляйский университет, ЛитваЛитваSiauliai University, LithuaniaLithuania201420062016154139147Copyright © Стонцелис М., Шяучюнас Д., 20162016Стонцелис М., Шяучюнас Д.Stoncelis M., Siauˇci¯unas D.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.chebsbornik.ru/jour/article/view/90

В статье доказана теорема универсальности для периодической дзета функции, которая опредеяется рядом Дирихле с периодическими коэффициентами, удовлетворяющими некоторому условию зависимости. Это упрощает задачу и разрешает осветить универсапьность периодической дзета функции.

 

We present an universality theorem for the periodic zeta-function which is defined by a Dirichlet series with periodic coefficients satisfying a certain dependence condition. This simplifies the problem and allows to elucidate the universality of the periodic zeta-function.

 

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The authors declare that there are no conflicts of interest present.