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Journal of Siberian Federal University. Mathematics & Physics, 2020, Volume 13, Issue 2, Pages 135–140
DOI: https://doi.org/10.17516/1997-1397-2020-13-2-135-140 (Mi jsfu825) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the application of the Plan formula to the study of the zeta-function of zeros of entire function

Vyacheslav Kuzovatova, Alexander Kytmanova, Azimbai Sadullaevb

a Institute of Mathematics and Computer Science, Siberian Federal University, Russian Federation
b National university of Uzbekistan, Uzbekistan
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DOI: https://doi.org/10.17516/1997-1397-2020-13-2-135-140
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.
Keywords: zeta-function of zeros, Plan formula, integral representation.
Funding agency Grant number
Russian Foundation for Basic Research 18-51-41011_Uzb_t
18-31-00019
The work was supported by RFBR, grant 18-51-41011 Uzb.t and grant 18-31-00019.
Received: 10.09.2019
Received in revised form: 16.11.2019
Accepted: 20.01.2020
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: English
Citation: Vyacheslav Kuzovatov, Alexander Kytmanov, Azimbai Sadullaev, “On the application of the Plan formula to the study of the zeta-function of zeros of entire function”, J. Sib. Fed. Univ. Math. Phys., 13:2 (2020), 135–140
Citation in format AMSBIB
\Bibitem{KuzKytSad20}
\by Vyacheslav~Kuzovatov, Alexander~Kytmanov, Azimbai~Sadullaev
\paper On the application of the Plan formula to the study of the zeta-function of zeros of entire function
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2020
\vol 13
\issue 2
\pages 135--140
\mathnet{http://mi.mathnet.ru/jsfu825}
\crossref{https://doi.org/10.17516/1997-1397-2020-13-2-135-140}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000526181200001}
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    • This publication is cited in the following 1 articles:
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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