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, 2008, Volume 83, Issue 6, Pages 912–922
DOI: https://doi.org/10.4213/mzm4840 (Mi mzm4840) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Diophantine Approximations of the Number $\pi$ by Numbers from the Field $\mathbb Q(\sqrt{3})$

E. B. Tomashevskaya

Bryansk State Technical University
Full-text PDF (469 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm4840
Abstract: We prove an estimate of the irrationality measure of any nonzero number of the form $r_1\pi+r_2\pi/\sqrt{3}$, $r_1,r_2\in\mathbb Q(\sqrt{3})$.
Keywords: Diophantine approximation, the number $\pi$, the field $\mathbb Q(\sqrt{3})$, irrationality measure of a number, Kummer's formula, hypergeometric function, saddle-point method.
Received: 23.05.2007
English version:
Mathematical Notes, 2008, Volume 83, Issue 6, Pages 833–842
DOI: https://doi.org/10.1134/S0001434608050283
Bibliographic databases:
UDC: 511.36
Language: Russian
Citation: E. B. Tomashevskaya, “Diophantine Approximations of the Number $\pi$ by Numbers from the Field $\mathbb Q(\sqrt{3})$”, Mat. Zametki, 83:6 (2008), 912–922; Math. Notes, 83:6 (2008), 833–842
Citation in format AMSBIB
\Bibitem{Tom08}
\by E.~B.~Tomashevskaya
\paper Diophantine Approximations of the Number~$\pi$ by Numbers from the Field $\mathbb Q(\sqrt{3})$
\jour Mat. Zametki
\yr 2008
\vol 83
\issue 6
\pages 912--922
\mathnet{http://mi.mathnet.ru/mzm4840}
\crossref{https://doi.org/10.4213/mzm4840}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2451394}
\zmath{https://zbmath.org/?q=an:1193.11071}
\transl
\jour Math. Notes
\yr 2008
\vol 83
\issue 6
\pages 833--842
\crossref{https://doi.org/10.1134/S0001434608050283}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000257399900028}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-46749089229}
Linking options:
  • https://www.mathnet.ru/eng/mzm4840
  • https://doi.org/10.4213/mzm4840
  • https://www.mathnet.ru/eng/mzm/v83/i6/p912
    • 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
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:495
    Full-text PDF :199
    References:73
    First page:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024