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Journal of Siberian Federal University. Mathematics & Physics, 2022, Volume 15, Issue 1, Pages 108–113
DOI: https://doi.org/10.17516/1997-1397-2022-15-1-108-113 (Mi jsfu980) 		 
The Euler–Maclaurin formula in the problem of summation over lattice points of a simplex

Evgeniy K. Leinartas, Olga A. Shishkina

Siberian Federal University, Krasnoyarsk, Russian Federation
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DOI: https://doi.org/10.17516/1997-1397-2022-15-1-108-113
Abstract: In the problem of summation over lattice points of a simplex we find an analog of the Euler–Maclaurin formula for discrete primitive function and the sum.
Keywords: summation of functions, a discrete primitive function, the Euler–Maclaurin formula.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2021-1388
Russian Foundation for Basic Research 20-41-243002
The research of the first 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 of Mathematics Research and Education (Agreement no. 075-02-2021-1388).
The research of the second athor was funded by RFBR, Krasnoyarsk Territory and Krasnoyarsk Regional Fund of Science, project number 20-41-243002.
Received: 29.07.2021
Received in revised form: 09.08.2021
Accepted: 15.09.2021
Bibliographic databases:
Document Type: Article
UDC: 517.55+517.962.26
Language: English
Citation: Evgeniy K. Leinartas, Olga A. Shishkina, “The Euler–Maclaurin formula in the problem of summation over lattice points of a simplex”, J. Sib. Fed. Univ. Math. Phys., 15:1 (2022), 108–113
Citation in format AMSBIB
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\by Evgeniy~K.~Leinartas, Olga~A.~Shishkina
\paper The Euler--Maclaurin formula in the problem of summation over lattice points of a simplex
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2022
\vol 15
\issue 1
\pages 108--113
\mathnet{http://mi.mathnet.ru/jsfu980}
\crossref{https://doi.org/10.17516/1997-1397-2022-15-1-108-113}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000749873300008}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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