chebЧебышевский сборникChebyshevskii Sbornik2226-8383Tula State Lev Tolstoy Pedagogical University10.22405/2226-8383-2014-15-1-121-130cheb-190Research ArticleСтатьиArticleО НУЛЯХ НЕКОТОРЫХ ФУНКЦИЙ, СВЯЗАННЫХ С ПЕРИОДИЧЕСКИМИ ДЗЕТА-ФУНКЦИЯМИON THE ZEROS OF SOME FUNCTIONS RELATED TO PERIODIC ZETA-FUNCTIONSЛауринчикасА.LaurinˇcikasA.СтонцелисМ.StoncelisM.

 

ШяучюнасД.Siauˇci¯unasD.Вильнюский университет (Литва)Russian FederationШяуляйский университет (Литва)Russian Federation201405072016151121130Copyright © Лауринчикас А., Стонцелис М., Шяучюнас Д., 20162016Лауринчикас А., Стонцелис М., Шяучюнас Д.Laurinˇcikas A., 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/190

В статье полученно, что линейная комбинация периодической дзета- функции и периодической дзета-функции Гурвица и более общие комбинации этих функций имеют бесконечно много нулей, лежащих в правой стороне критической полосы.

 

In the paper, we obtain that a linear combination of the periodic and periodic Hurwitz zeta-functions, and more general combinations of these functions have infinitely many zeros lying in the right-hand side of the critical strip.

 

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