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Journal of Siberian Federal University. Mathematics & Physics, 2021, Volume 14, Issue 5, Pages 599–603
DOI: https://doi.org/10.17516/1997-1397-2021-14-5-599-603 (Mi jsfu945) 		 
On the zeta-function of zeros of an entire function

Vyacheslav I. Kuzovatovab, Alexander M. Kytmanovab, Azimbai Sadullaevb

a Siberian Federal University, Krasnoyarsk, Russian Federation
b National University of Uzbekistan, Tashkent, Uzbekistan
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DOI: https://doi.org/10.17516/1997-1397-2021-14-5-599-603
Abstract: This article is devoted to the study of the properties of the zeta-function of zeros of an entire function. We obtain an explicit expression for the kernel of the integral representation of the zeta-function in one case.
Keywords: zeta-function of zeros, integral representation, canonical product.
Funding agency Grant number
Russian Foundation for Basic Research 20-41-243002
Ministry of Science and Higher Education of the Russian Federation 075-02-2021-1388
The first author was supported by RFBR, Krasnoyarsk Territory and Krasnoyarsk Regional Fund of Science (project number 20-41-243002). The second author is supported by the Krasnoyarsk Mathematical Center and financed by the Ministry of Science and Higher Education of the Russian Federation in the framework of the establishment and development of regional Centers for Mathematics Research and Education (Agreement No. 075-02-2021-1388).
Received: 10.04.2021
Received in revised form: 02.06.2021
Accepted: 20.06.2021
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: English
Citation: Vyacheslav I. Kuzovatov, Alexander M. Kytmanov, Azimbai Sadullaev, “On the zeta-function of zeros of an entire function”, J. Sib. Fed. Univ. Math. Phys., 14:5 (2021), 599–603
Citation in format AMSBIB
\Bibitem{KuzKytSad21}
\by Vyacheslav~I.~Kuzovatov, Alexander~M.~Kytmanov, Azimbai~Sadullaev
\paper On the zeta-function of zeros of an entire function
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2021
\vol 14
\issue 5
\pages 599--603
\mathnet{http://mi.mathnet.ru/jsfu945}
\crossref{https://doi.org/10.17516/1997-1397-2021-14-5-599-603}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000716998700006}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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