Diskretnyi Analiz i Issledovanie Operatsii
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Diskretn. Anal. Issled. Oper.:
Year:
Volume:
Issue:
Page:
Find




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

Diskretnyi Analiz i Issledovanie Operatsii, 2015, Volume 22, Issue 2, Pages 73–85
DOI: https://doi.org/10.17377/daio.2015.22.449 (Mi da814) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Counting sumsets and differences in abelian group

V. G. Sargsyan

Lomonosov Moscow State University, 1 Leninskie gory, 119991 Moscow, Russia
Full-text PDF (289 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.17377/daio.2015.22.449
Abstract: A subset $A$ of a group $G$ is called $(k,l)$-sumset, if $A=kB-lB$ for some $B\subseteq G$, where $kB-lB=\{x_1+\dots+x_k-x_{k+1}-\dots-x_{k+l}\mid x_1,\dots,x_{k+l}\in B\}$. Upper and lower bounds for the numbers of $(1,1)$-sumsets and $(2,0)$-sumsets in abelian groups are provided. Bibliogr. 4.
Keywords: arithmetic progression, group, characteristic function, coset.
Received: 20.03.2014
Revised: 09.09.2014
English version:
Journal of Applied and Industrial Mathematics, 2015, Volume 9, Issue 2, Pages 275–282
DOI: https://doi.org/10.1134/S1990478915020131
Bibliographic databases:
Document Type: Article
UDC: 519.1
Language: Russian
Citation: V. G. Sargsyan, “Counting sumsets and differences in abelian group”, Diskretn. Anal. Issled. Oper., 22:2 (2015), 73–85; J. Appl. Industr. Math., 9:2 (2015), 275–282
Citation in format AMSBIB
\Bibitem{Sar15}
\by V.~G.~Sargsyan
\paper Counting sumsets and differences in abelian group
\jour Diskretn. Anal. Issled. Oper.
\yr 2015
\vol 22
\issue 2
\pages 73--85
\mathnet{http://mi.mathnet.ru/da814}
\crossref{https://doi.org/10.17377/daio.2015.22.449}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3444479}
\elib{https://elibrary.ru/item.asp?id=23134008}
\transl
\jour J. Appl. Industr. Math.
\yr 2015
\vol 9
\issue 2
\pages 275--282
\crossref{https://doi.org/10.1134/S1990478915020131}
Linking options:
  • https://www.mathnet.ru/eng/da814
  • https://www.mathnet.ru/eng/da/v22/i2/p73
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025