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, 2012, Volume 91, Issue 3, Pages 371–382
DOI: https://doi.org/10.4213/mzm7836 (Mi mzm7836) 		 
This article is cited in 4 scientific papers (total in 4 papers)

The Sidelnikov Method for Estimating the Number of Signs on Segments of Linear Recurrence Sequences over Galois Rings

O. V. Kamlovskii
Full-text PDF (491 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm7836
Abstract: Using the method of trigonometric sums, Sidelnikov obtained estimates of the frequencies of occurrence of elements on segments of linear recurrence sequences over finite fields. These results are generalized to the case of Galois rings. It is shown that, in some cases, the estimates obtained in this paper are sharper than previously known ones.
Keywords: linear recurrence sequence, Galois ring, Galois polynomial, method of trigonometric sums, irreducible polynomial.
Received: 03.03.2009
English version:
Mathematical Notes, 2012, Volume 91, Issue 3, Pages 354–363
DOI: https://doi.org/10.1134/S0001434612030054
Bibliographic databases:
Document Type: Article
UDC: 519.4
Language: Russian
Citation: O. V. Kamlovskii, “The Sidelnikov Method for Estimating the Number of Signs on Segments of Linear Recurrence Sequences over Galois Rings”, Mat. Zametki, 91:3 (2012), 371–382; Math. Notes, 91:3 (2012), 354–363
Citation in format AMSBIB
\Bibitem{Kam12}
\by O.~V.~Kamlovskii
\paper The Sidelnikov Method for Estimating the Number of Signs on Segments of Linear Recurrence Sequences over Galois Rings
\jour Mat. Zametki
\yr 2012
\vol 91
\issue 3
\pages 371--382
\mathnet{http://mi.mathnet.ru/mzm7836}
\crossref{https://doi.org/10.4213/mzm7836}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3201434}
\elib{https://elibrary.ru/item.asp?id=20731494}
\transl
\jour Math. Notes
\yr 2012
\vol 91
\issue 3
\pages 354--363
\crossref{https://doi.org/10.1134/S0001434612030054}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000303478900005}
\elib{https://elibrary.ru/item.asp?id=18349053}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84860369053}
Linking options:
  • https://www.mathnet.ru/eng/mzm7836
  • https://doi.org/10.4213/mzm7836
  • https://www.mathnet.ru/eng/mzm/v91/i3/p371
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025