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, 2002, Volume 72, Issue 5, Pages 796–800
DOI: https://doi.org/10.4213/mzm673 (Mi mzm673) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Brief Communications

A Third-Order Apéry-Like Recursion for ζ(5)

W. V. Zudilin

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (153 kB) Citations (12)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm673
Received: 27.05.2002
English version:
Mathematical Notes, 2002, Volume 72, Issue 5, Pages 733–737
DOI: https://doi.org/10.1023/A:1021473409544
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: W. V. Zudilin, “A Third-Order Apéry-Like Recursion for ζ(5)”, Mat. Zametki, 72:5 (2002), 796–800; Math. Notes, 72:5 (2002), 733–737
Citation in format AMSBIB
\Bibitem{Zud02}
\by W.~V.~Zudilin
\paper A Third-Order Ap\'ery-Like Recursion for $\zeta (5)$
\jour Mat. Zametki
\yr 2002
\vol 72
\issue 5
\pages 796--800
\mathnet{http://mi.mathnet.ru/mzm673}
\crossref{https://doi.org/10.4213/mzm673}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1963141}
\zmath{https://zbmath.org/?q=an:1041.11057}
\transl
\jour Math. Notes
\yr 2002
\vol 72
\issue 5
\pages 733--737
\crossref{https://doi.org/10.1023/A:1021473409544}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000180090200017}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0141625265}
Linking options:
  • https://www.mathnet.ru/eng/mzm673
  • https://doi.org/10.4213/mzm673
  • https://www.mathnet.ru/eng/mzm/v72/i5/p796
    • This publication is cited in the following 12 articles:
    1. Angelo B. Mingarelli, “Principal Solutions of Recurrence Relations and Irrationality Questions in Number Theory”, Mathematics, 11:2 (2023), 262  crossref
    2. Raayoni G., Gottlieb Sh., Manor Ya., Pisha G., Harris Y., Mendlovic U., Haviv D., Hadad Ya., Kaminer I., “Generating Conjectures on Fundamental Constants With the Ramanujan Machine”, Nature, 590:7844 (2021), 67+  crossref  isi  scopus
    3. Soria-Lorente A. Berres S., “A Single Parameter Hermite-Pade Series Representation For Apery'S Constant”, Notes Number Theory Discret. Math., 26:3 (2020), 107–134  crossref  isi
    4. Soria Lorente A., “On Zudilin-Like Rational Approximations to ? (5)”, Notes Number Theory Discret. Math., 24:2 (2018), 104–116  crossref  isi
    5. Yu. V. Nesterenko, “On Catalan's constant”, Proc. Steklov Inst. Math., 292 (2016), 153–170  mathnet  crossref  crossref  mathscinet  isi  elib
    6. Igor Gepko, IEEE EUROCON 2015 - International Conference on Computer as a Tool (EUROCON), 2015, 1  crossref
    7. E. A. Karatsuba, “On one method for fast approximation of zeta constants by rational fractions”, Problems Inform. Transmission, 50:2 (2014), 186–202  mathnet  crossref  isi  elib
    8. I. A. Gepko, “Technical configuration of portable REF operating on the secondary basis in TV white spaces”, Radioelectron.Commun.Syst., 57:4 (2014), 180  crossref
    9. W. Zudilin, “Arithmetic hypergeometric series”, Russian Math. Surveys, 66:2 (2011), 369–420  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    10. Rivoal, T, “RATIONAL APPROXIMATIONS FOR VALUES OF DERIVATIVES OF THE GAMMA FUNCTION”, Transactions of the American Mathematical Society, 361:11 (2009), 6115  crossref  mathscinet  zmath  isi  scopus  scopus
    11. Zudilin, W, “Approximations to -, di- and tri-logarithms”, Journal of Computational and Applied Mathematics, 202:2 (2007), 450  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    12. Zudilin, W, “Well-poised generation of Apery-like recursions”, Journal of Computational and Applied Mathematics, 178:1–2 (2005), 513  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    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:440
    Full-text PDF :249
    References:67
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025