Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find




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

Funktsional'nyi Analiz i ego Prilozheniya, 2004, Volume 38, Issue 1, Pages 1–15
DOI: https://doi.org/10.4213/faa92 (Mi faa92) 		 
This article is cited in 14 scientific papers (total in 15 papers)

Fermat Dynamics, Matrix Arithmetics, Finite Circles, and Finite Lobachevsky Planes

V. I. Arnol'dab

a Steklov Mathematical Institute, Russian Academy of Sciences
b Université Paris-Dauphine
Full-text PDF (215 kB) Citations (15)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa92
Abstract: Congruences generalizing Fermat's little theorem are proved for the traces of powers of integer matrices. Their relations to Lobachevsky geometries over finite fields and combinatorics of the matrix squaring operation as well as to the corresponding Riemann surfaces with their Kepler cubes are discussed.
Keywords: arithmetics, symmetric function, de Sitter world, trace, Fermat's little theorem, Lobachevsky geometry, Kepler cube, Riemann surface.
Received: 03.10.2003
English version:
Functional Analysis and Its Applications, 2004, Volume 38, Issue 1, Pages 1–13
DOI: https://doi.org/10.1023/B:FAIA.0000024863.06462.68
Bibliographic databases:
Document Type: Article
UDC: 51
Language: Russian
Citation: V. I. Arnol'd, “Fermat Dynamics, Matrix Arithmetics, Finite Circles, and Finite Lobachevsky Planes”, Funktsional. Anal. i Prilozhen., 38:1 (2004), 1–15; Funct. Anal. Appl., 38:1 (2004), 1–13
Citation in format AMSBIB
\Bibitem{Arn04}
\by V.~I.~Arnol'd
\paper Fermat Dynamics, Matrix Arithmetics, Finite Circles, and Finite Lobachevsky Planes
\jour Funktsional. Anal. i Prilozhen.
\yr 2004
\vol 38
\issue 1
\pages 1--15
\mathnet{http://mi.mathnet.ru/faa92}
\crossref{https://doi.org/10.4213/faa92}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2061787}
\zmath{https://zbmath.org/?q=an:1125.11066}
\elib{https://elibrary.ru/item.asp?id=14528511}
\transl
\jour Funct. Anal. Appl.
\yr 2004
\vol 38
\issue 1
\pages 1--13
\crossref{https://doi.org/10.1023/B:FAIA.0000024863.06462.68}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000221663700001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-3543082174}
Linking options:
  • https://www.mathnet.ru/eng/faa92
  • https://doi.org/10.4213/faa92
  • https://www.mathnet.ru/eng/faa/v38/i1/p1
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
    Statistics & downloads:
    Abstract page:1218
    Full-text PDF :712
    References:112
    First page:5
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024