Russian Mathematical Surveys
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Uspekhi Mat. Nauk:
Year:
Volume:
Issue:
Page:
Find




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

Russian Mathematical Surveys, 2010, Volume 65, Issue 4, Pages 599–658
DOI: https://doi.org/10.1070/RM2010v065n04ABEH004691 (Mi rm9367) 		 
This article is cited in 24 scientific papers (total in 24 papers)

Sums and products of sets and estimates of rational trigonometric sums in fields of prime order

M. Z. Garaev

National Autonomous University of Mexico, Institute of Mathematics
English version PDF (822 kB) Citations (24) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/RM2010v065n04ABEH004691
Abstract: This paper is a survey of main results on the problem of sums and products of sets in fields of prime order and their applications to estimates of rational trigonometric sums.
Bibliography: 85 titles.
Keywords: sum set, product set, field of prime order, trigonometric sums.
Received: 14.05.2009
Bibliographic databases:
Document Type: Article
UDC: 511+519.1
MSC: Primary 11-02; Secondary 11L03, 11A07, 11B13, 11B75, 11T23, 11T24
Language: English
Original paper language: Russian
Citation: M. Z. Garaev, “Sums and products of sets and estimates of rational trigonometric sums in fields of prime order”, Russian Math. Surveys, 65:4 (2010), 599–658
Citation in format AMSBIB
\Bibitem{Gar10}
\by M.~Z.~Garaev
\paper Sums and products of sets and estimates of~rational trigonometric sums in fields of prime order
\jour Russian Math. Surveys
\yr 2010
\vol 65
\issue 4
\pages 599--658
\mathnet{http://mi.mathnet.ru/eng/rm9367}
\crossref{https://doi.org/10.1070/RM2010v065n04ABEH004691}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2759693}
\zmath{https://zbmath.org/?q=an:05835470}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2010RuMaS..65..599G}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000284313300001}
\elib{https://elibrary.ru/item.asp?id=20423022}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649565239}
Linking options:
  • https://www.mathnet.ru/eng/rm9367
  • https://doi.org/10.1070/RM2010v065n04ABEH004691
  • https://www.mathnet.ru/eng/rm/v65/i4/p5
    • This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи математических наук Russian Mathematical Surveys
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025