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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2019, Volume 166, Pages 41–48
DOI: https://doi.org/10.36535/0233-6723-2019-166-41-48 (Mi into475) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On types of solutions of the Lagrange problem

L. N. Kurtova, N. N. Mot'kina

National Research University "Belgorod State University"
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DOI: https://doi.org/10.36535/0233-6723-2019-166-41-48
Abstract: In this paper, we present an analysis of some cases where a positive integer cannot be represented by a diagonal quadratic form with four integer variables.
Keywords: quadratic form, trigonometric sum, Gauss sum, comparison, Kloosterman sum, asymptotic formula.
Document Type: Article
UDC: 511.51
MSC: 11D09
Language: Russian
Citation: L. N. Kurtova, N. N. Mot'kina, “On types of solutions of the Lagrange problem”, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part II, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 166, VINITI, Moscow, 2019, 41–48
Citation in format AMSBIB
\Bibitem{KurMot19}
\by L.~N.~Kurtova, N.~N.~Mot'kina
\paper On types of solutions of the Lagrange problem
\inbook Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part II
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2019
\vol 166
\pages 41--48
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into475}
\crossref{https://doi.org/10.36535/0233-6723-2019-166-41-48}
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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