Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2019, Volume 166, Pages 10–21
DOI: https://doi.org/10.36535/0233-6723-2019-166-10-21 (Mi into473) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Additive problem with $k$ numbers of a special form

A. A. Zhukovaa, A. V. Shutovb

a Russian Academy of National Economy and Public Administration under the President of the Russian Federation (Vladimir Branch)
b Vladimir State University
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DOI: https://doi.org/10.36535/0233-6723-2019-166-10-21
Abstract: In this paper, we consider an additive problem of the form $n_1+n_2+\ldots+n_k=N$ with at least two summands, where the summands satisfy the condition $n_i\in\mathbb{N}(\alpha_i, I_i)$ for $1 \le i \le k$, where $\mathbb{N}(\alpha I)=\{n\in\mathbb{N}:\{n\alpha\}\in I\}$.
Keywords: additive problem, uniform distribution.
Document Type: Article
UDC: 511.34
MSC: 11P99
Language: Russian
Citation: A. A. Zhukova, A. V. Shutov, “Additive problem with $k$ numbers of a special form”, 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, 10–21
Citation in format AMSBIB
\Bibitem{ZhuShu19}
\by A.~A.~Zhukova, A.~V.~Shutov
\paper Additive problem with $k$ numbers of a special form
\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 10--21
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into473}
\crossref{https://doi.org/10.36535/0233-6723-2019-166-10-21}
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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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