Journal of Siberian Federal University. Mathematics & Physics / On the Application of the Plan Formula to the Study of the Zeta-Function of Zeros of Entire Function

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2020 13 (2)
Authors
Kuzovatov, Vyacheslav I.; Kytmanov, Alexander M.; Sadullaev, Azimbai
Contact information
Kuzovatov, Vyacheslav I.: Institute of Mathematics and Computer Science Siberian Federal University Russian Federation; ; Kytmanov, Alexander M.: Institute of Mathematics and Computer Science Siberian Federal University Russian Federation; OCRID: 0000-0002-7394-1480; Sadullaev, Azimbai: National university of Uzbekistan Uzbekistan;
Keywords
zeta-function of zeros; Plan formula; integral representation
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

Pages
135–140
DOI
10.17516/1997-1397-2020-13-2-135-140
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/135138