On the Application of the Plan Formula to the Study of the Zeta-Function of Zeros of Entire Function
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https://elib.sfu-kras.ru/handle/2311/135138Author:
Kuzovatov, Vyacheslav I.
Kytmanov, Alexander M.
Sadullaev, Azimbai
Кузоватов, Вячеслав И.
Кытманов, Александр М.
Садуллаев, Азимбай
Date:
2020-03Journal Name:
Журнал Сибирского федерального университета.Математика и физика.Journal of Siberian Federal University. Mathematics & Physics, 2020 13 (2)Abstract:
We consider an application of the Plan formula to the study of the properties of the zeta-
function of zeros of entire function. Based on this formula, we obtained an explicit expression for the
kernel of the integral representation of the zeta-function in this case В данной статье рассмотрено применение формулы Плана к исследованию свойств
дзета-функции нулей целой функции. На основе данной формулы получено явное выражение для
ядра интегрального представления дзета-функции в этом случае
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