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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2020, Volume 17, Pages 840–852
DOI: https://doi.org/10.33048/semi.2020.17.061 (Mi semr1255) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Real, complex and functional analysis

On an analog of the Binet integral representation

V. I. Kuzovatov, A. M. Kytmanov

Siberian Federal University, 79, Svobodny ave., Krasnoyarsk, 660041, Russia
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DOI: https://doi.org/10.33048/semi.2020.17.061
Abstract: We obtain an analog of the Binet integral representation, which is essential for obtaining the functional equation for the classical Riemann zeta-function.
Keywords: Binet formula, integral representation, interpolation problem.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-00019
Ministry of Science and Higher Education of the Russian Federation 075-02-2020-1534/1
The first author was supported by the Russian Foundation for Basic Research (project No. 18-31-00019). The second author was 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. 075-02-2020-1534/1).
Received December 26, 2018, published June 26, 2020
Bibliographic databases:
Document Type: Article
UDC: 517.5
MSC: 14G10, 30D10
Language: English
Citation: V. I. Kuzovatov, A. M. Kytmanov, “On an analog of the Binet integral representation”, Sib. Èlektron. Mat. Izv., 17 (2020), 840–852
Citation in format AMSBIB
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\by V.~I.~Kuzovatov, A.~M.~Kytmanov
\paper On an analog of the Binet integral representation
\jour Sib. \`Elektron. Mat. Izv.
\yr 2020
\vol 17
\pages 840--852
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\crossref{https://doi.org/10.33048/semi.2020.17.061}
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