Loading [MathJax]/jax/output/SVG/config.js
Trudy Matematicheskogo Instituta imeni V.A. Steklova
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

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Volume 294, Pages 76–86
DOI: https://doi.org/10.1134/S0371968516030043 (Mi tm3732) 		 
This article is cited in 9 scientific papers (total in 9 papers)

On a symmetric diophantine equation with reciprocals

S. V. Konyagin, M. A. Korolev

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Full-text PDF (195 kB) Citations (9)
References:
PDF
HTML
DOI: https://doi.org/10.1134/S0371968516030043
Abstract: An asymptotic formula is obtained for the number of solutions to a symmetric Diophantine equation with reciprocals, and its applications to problems related to the distribution of values of short Kloosterman sums are presented.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: April 13, 2016
English version:
Proceedings of the Steklov Institute of Mathematics, 2016, Volume 294, Pages 67–77
DOI: https://doi.org/10.1134/S0081543816060043
Bibliographic databases:
Document Type: Article
UDC: 511.5+511.321
Language: Russian
Citation: S. V. Konyagin, M. A. Korolev, “On a symmetric diophantine equation with reciprocals”, Modern problems of mathematics, mechanics, and mathematical physics. II, Collected papers, Trudy Mat. Inst. Steklova, 294, MAIK Nauka/Interperiodica, Moscow, 2016, 76–86; Proc. Steklov Inst. Math., 294 (2016), 67–77
Citation in format AMSBIB
\Bibitem{KonKor16}
\by S.~V.~Konyagin, M.~A.~Korolev
\paper On a~symmetric diophantine equation with reciprocals
\inbook Modern problems of mathematics, mechanics, and mathematical physics.~II
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2016
\vol 294
\pages 76--86
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3732}
\crossref{https://doi.org/10.1134/S0371968516030043}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3628493}
\elib{https://elibrary.ru/item.asp?id=26601051}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2016
\vol 294
\pages 67--77
\crossref{https://doi.org/10.1134/S0081543816060043}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000386554900004}
\elib{https://elibrary.ru/item.asp?id=27583061}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84992065766}
Linking options:
  • https://www.mathnet.ru/eng/tm3732
  • https://doi.org/10.1134/S0371968516030043
  • https://www.mathnet.ru/eng/tm/v294/p76
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:528
    Full-text PDF :62
    References:72
    First page:6
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025