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, 2010, Volume 88, Issue 4, Pages 583–593
DOI: https://doi.org/10.4213/mzm8688 (Mi mzm8688) 		 
This article is cited in 11 scientific papers (total in 11 papers)

On the Measure of Irrationality of the Number $\pi$

V. Kh. Salikhov

Bryansk State Technical University
Full-text PDF (493 kB) Citations (11)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm8688
Abstract: A new estimate of the measure of irrationality of the number $\pi$ is obtained. The previous result (M. Hata, 1993) is improved by means of another integral construction.
Keywords: measure of irrationality, approximation by rational fractions, partial-fraction expansion, Leibniz formula, linear form.
Received: 25.11.2009
English version:
Mathematical Notes, 2010, Volume 88, Issue 4, Pages 563–573
DOI: https://doi.org/10.1134/S0001434610090294
Bibliographic databases:
Document Type: Article
UDC: 511.36
Language: Russian
Citation: V. Kh. Salikhov, “On the Measure of Irrationality of the Number $\pi$”, Mat. Zametki, 88:4 (2010), 583–593; Math. Notes, 88:4 (2010), 563–573
Citation in format AMSBIB
\Bibitem{Sal10}
\by V.~Kh.~Salikhov
\paper On the Measure of Irrationality of the Number~$\pi$
\jour Mat. Zametki
\yr 2010
\vol 88
\issue 4
\pages 583--593
\mathnet{http://mi.mathnet.ru/mzm8688}
\crossref{https://doi.org/10.4213/mzm8688}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2882220}
\transl
\jour Math. Notes
\yr 2010
\vol 88
\issue 4
\pages 563--573
\crossref{https://doi.org/10.1134/S0001434610090294}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000284073100029}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78249275524}
Linking options:
  • https://www.mathnet.ru/eng/mzm8688
  • https://doi.org/10.4213/mzm8688
  • https://www.mathnet.ru/eng/mzm/v88/i4/p583
    • This publication is cited in the following 11 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, 2024