chebЧебышевский сборникChebyshevskii Sbornik2226-8383Tula State Lev Tolstoy Pedagogical University10.22405/2226-8383-2013-14-2-180-200cheb-88Research ArticleСтатьиArticleФОРМУЛА ТИПА АТКИНСОНА ДЛЯ ПЕРИОДИЧЕСКОЙ ДЗЕТА-ФУНКЦИИTHE ATKINSON TYPE FORMULA FOR THE PERIODIC ZETA-FUNCTIONЧерниговаС.CernigovaS.ЛауринчикасА.LaurinˇcikasA.201320062016142180200Copyright © Чернигова С., Лауринчикас А., 20162016Чернигова С., Лауринчикас А.Cernigova S., Laurinˇcikas A.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/88

В статье получена явная формула для остаточного члена в формуле для усредненного второго момента периодической дзета-функции с рациональным параметром в критической полосе.

 

In the paper an explicit formula for the error term in the average mean square formula for the periodic zeta-function with rational parameter in the critical strip is obtained.

 

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