Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (229 kB) Citations (1)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/into473
  • https://www.mathnet.ru/eng/into/v166/p10
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
    Statistics & downloads:
    Abstract page:127
    Full-text PDF :55
    References:23
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024