Chebyshevskii Sbornik
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


Chebyshevskii Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Chebyshevskii Sbornik, 2016, Volume 17, Issue 4, Pages 51–56
DOI: https://doi.org/10.22405/2226-8383-2016-17-4-51-56 (Mi cheb515) 		 
Romanoff additive theorem's proof and its analogues

A. N. Vassilyev

Kazakhstan Branch of Lomonosov Moscow State University, Astana
Full-text PDF (537 kB)
References:
PDF
HTML
DOI: https://doi.org/10.22405/2226-8383-2016-17-4-51-56
Abstract: In paper we describe the way N. P. Romanoff proved his additive theorem and sufficient conditions to obtain its analogues for sets with similar distribution and arithmetic. Also the example of set with similar distribution but with different arithmetic is given. We prove that the Romanoff theorem's analogue for this set is incorrect.
Bibliography: 9 titles.
Keywords: Romanoff theorem, sumset, exponential sums.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan ГФ4-0816
Received: 15.05.2016
Accepted: 12.12.2016
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: A. N. Vassilyev, “Romanoff additive theorem's proof and its analogues”, Chebyshevskii Sb., 17:4 (2016), 51–56
Citation in format AMSBIB
\Bibitem{Vas16}
\by A.~N.~Vassilyev
\paper Romanoff additive theorem's proof and its analogues
\jour Chebyshevskii Sb.
\yr 2016
\vol 17
\issue 4
\pages 51--56
\mathnet{http://mi.mathnet.ru/cheb515}
\crossref{https://doi.org/10.22405/2226-8383-2016-17-4-51-56}
\elib{https://elibrary.ru/item.asp?id=27708204}
Linking options:
  • https://www.mathnet.ru/eng/cheb515
  • https://www.mathnet.ru/eng/cheb/v17/i4/p51
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:166
    Full-text PDF :59
    References:35
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024