Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Vestnik Moskov. Univ. Ser. 1. Mat. Mekh.:
Year:
Volume:
Issue:
Page:
Find




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

Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2009, Number 4, Pages 28–35 (Mi vmumm886)  
Mathematics

An elementary proof of the irrationality of $\zeta(3)$

Yu. V. Nesterenko

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (230 kB)
Abstract: An elementary proof of the irrationality of $\zeta(3)$ is presented. The proof is based on a two times more dense sequence of diophantine approximations to this number than the sequence in the original proof of Apery.
Key words: irrationality, zeta-values, recurrence.
Received: 01.12.2008
Bibliographic databases:
Document Type: Article
UDC: 511.31+511.36
Language: Russian
Citation: Yu. V. Nesterenko, “An elementary proof of the irrationality of $\zeta(3)$”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 4, 28–35
Citation in format AMSBIB
\Bibitem{Nes09}
\by Yu.~V.~Nesterenko
\paper An elementary proof of the irrationality of $\zeta(3)$
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2009
\issue 4
\pages 28--35
\mathnet{http://mi.mathnet.ru/vmumm886}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2657274}
\zmath{https://zbmath.org/?q=an:1304.11066}
Linking options:
  • https://www.mathnet.ru/eng/vmumm886
  • https://www.mathnet.ru/eng/vmumm/y2009/i4/p28
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024