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 549–564
DOI: https://doi.org/10.4213/mzm8686 (Mi mzm8686) 		 
This article is cited in 15 scientific papers (total in 15 papers)

On the Irrationality Exponent of the Number $\ln2$

Yu. V. Nesterenko

M. V. Lomonosov Moscow State University
Full-text PDF (510 kB) Citations (15)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm8686
Abstract: We propose another method of deriving the Marcovecchio estimate for the irrationality measure of the number $\ln2$ following, for the most part, the method of proof of the irrationality of the number $\zeta(3)$ proposed by the author in 1996. The proof uses single complex integrals, the so-called Meyer $G$-functions, and is much simpler than that of Marcovecchio.
Keywords: irrational number, Marcovecchio estimate, irrationality measure, irrationality exponent, Meyer $G$-function, saddle-point method.
Received: 03.01.2010
Revised: 15.02.2010
English version:
Mathematical Notes, 2010, Volume 88, Issue 4, Pages 530–543
DOI: https://doi.org/10.1134/S0001434610090257
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: Yu. V. Nesterenko, “On the Irrationality Exponent of the Number $\ln2$”, Mat. Zametki, 88:4 (2010), 549–564; Math. Notes, 88:4 (2010), 530–543
Citation in format AMSBIB
\Bibitem{Nes10}
\by Yu.~V.~Nesterenko
\paper On the Irrationality Exponent of the Number $\ln2$
\jour Mat. Zametki
\yr 2010
\vol 88
\issue 4
\pages 549--564
\mathnet{http://mi.mathnet.ru/mzm8686}
\crossref{https://doi.org/10.4213/mzm8686}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2882217}
\transl
\jour Math. Notes
\yr 2010
\vol 88
\issue 4
\pages 530--543
\crossref{https://doi.org/10.1134/S0001434610090257}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000284073100025}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78249265317}
Linking options:
  • https://www.mathnet.ru/eng/mzm8686
  • https://doi.org/10.4213/mzm8686
  • https://www.mathnet.ru/eng/mzm/v88/i4/p549
    • 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
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:1080
    Full-text PDF :413
    References:98
    First page:91
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024