Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 9, Pages 47–53 (Mi ivm8737)  
This article is cited in 2 scientific papers (total in 2 papers)

Symbol of type and the Wilson theorem

S. A. Tyurin

Faculty of Regional Staff Training, Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, Russia
Full-text PDF (183 kB) Citations (2)
References:
PDF
HTML
Abstract: We introduce the notion of an element type for the field of residues modulo a prime number and study its role in factorial computation. We obtain an expression for its quantitative characteristic (the symbol of type) in terms of continued fractions and establish its connection with the Legendre symbol.
Keywords: number theory, finite fields, continued fractions.
Received: 20.07.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 9, Pages 39–45
DOI: https://doi.org/10.3103/S1066369X12090058
Bibliographic databases:
Document Type: Article
UDC: 511.172
Language: Russian
Citation: S. A. Tyurin, “Symbol of type and the Wilson theorem”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 9, 47–53; Russian Math. (Iz. VUZ), 56:9 (2012), 39–45
Citation in format AMSBIB
\Bibitem{Tyu12}
\by S.~A.~Tyurin
\paper Symbol of type and the Wilson theorem
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 9
\pages 47--53
\mathnet{http://mi.mathnet.ru/ivm8737}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3137047}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 9
\pages 39--45
\crossref{https://doi.org/10.3103/S1066369X12090058}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866285975}
Linking options:
  • https://www.mathnet.ru/eng/ivm8737
  • https://www.mathnet.ru/eng/ivm/y2012/i9/p47
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
    Statistics & downloads:
    Abstract page:229
    Full-text PDF :76
    References:40
    First page:6
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024