Loading [MathJax]/jax/output/SVG/config.js
Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2016, Volume 100, Issue 2, Pages 185–195
DOI: https://doi.org/10.4213/mzm10839 (Mi mzm10839) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Intersections of Shifts of Multiplicative Subgroups

I. V. Vyuginab, E. V. Solodkovaa, I. D. Shkredovcda

a Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
b National Research University "Higher School of Economics" (HSE), Moscow
c P.G. Demidov Yaroslavl State University
d Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Full-text PDF (508 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm10839
Abstract: Using Stepanov's method, we obtain an upper bound for the cardinality of the intersection of additive shifts of several multiplicative subgroups of a finite field. The resulting inequality is applied to a question dealing with the additive decomposability of subgroups.
Keywords: multiplicative subgroup, finite field, Stepanov's method, sum of subgroups.
Funding agency Grant number
Russian Science Foundation 14-11-00433
Russian Foundation for Basic Research 14-01-00346
The work of the second and third authors (Secs. 1 and 3) was supported by the Russian Science Foundation under grant 14-11-00433. The work of the first author (Sec. 2) was supported by the Russian Foundation for Basic Research under grant 14-01-00346.
Received: 21.06.2015
Revised: 13.12.2015
English version:
Mathematical Notes, 2016, Volume 100, Issue 2, Pages 189–198
DOI: https://doi.org/10.1134/S0001434616070154
Bibliographic databases:
Document Type: Article
UDC: 511.218
Language: Russian
Citation: I. V. Vyugin, E. V. Solodkova, I. D. Shkredov, “Intersections of Shifts of Multiplicative Subgroups”, Mat. Zametki, 100:2 (2016), 185–195; Math. Notes, 100:2 (2016), 189–198
Citation in format AMSBIB
\Bibitem{VyuSolShk16}
\by I.~V.~Vyugin, E.~V.~Solodkova, I.~D.~Shkredov
\paper Intersections of Shifts of Multiplicative Subgroups
\jour Mat. Zametki
\yr 2016
\vol 100
\issue 2
\pages 185--195
\mathnet{http://mi.mathnet.ru/mzm10839}
\crossref{https://doi.org/10.4213/mzm10839}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3588837}
\zmath{https://zbmath.org/?q=an:06682149}
\elib{https://elibrary.ru/item.asp?id=26414288}
\transl
\jour Math. Notes
\yr 2016
\vol 100
\issue 2
\pages 189--198
\crossref{https://doi.org/10.1134/S0001434616070154}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000382193300015}
\elib{https://elibrary.ru/item.asp?id=27141427}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84983738684}
Linking options:
  • https://www.mathnet.ru/eng/mzm10839
  • https://doi.org/10.4213/mzm10839
  • https://www.mathnet.ru/eng/mzm/v100/i2/p185
    • This publication is cited in the following 4 articles:
    1. I. D. Shkredov, “Any small multiplicative subgroup is not a sumset”, Finite Fields their Appl., 63 (2020), UNSP 101645  crossref  mathscinet  isi
    2. I. V. Vyugin, “A Bound for the Number of Preimages of a Polynomial Mapping”, Math. Notes, 106:2 (2019), 203–211  mathnet  crossref  crossref  mathscinet  isi  elib
    3. I. D. Shkredov, “Differences of subgroups in subgroups”, Int. J. Number Theory, 14:4 (2018), 1111–1134  crossref  mathscinet  zmath  isi  scopus
    4. I. V. Vyugin, E. V. Solodkova, I. D. Shkredov, “On the Additive Energy of the Heilbronn Subgroup”, Math. Notes, 101:1 (2017), 58–70  mathnet  crossref  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:609
    Full-text PDF :103
    References:56
    First page:31
     
      Contact us:
    math-net2025_04@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025