Skip to main content
Log in

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

  • Published:
Mathematical Notes Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

REFERENCES

  1. R. Apéry, Astérisque, 61 (1979), 11-13.

    Google Scholar 

  2. A. Van der Poorten, Math. Intelligencer, 1 (1978/79), no. 4, 195-203.

    Google Scholar 

  3. V. N. Sorokin, One algorithm for fast calculation of ζ(4) [in Russian], Preprint, M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences, Moscow, 2002.

    Google Scholar 

  4. V. V. Zudilin (W. Zudilin), “Well-posed hypergeometric service for diophantine problems of zeta values,” Actes des 12èmes rencontres arithmétiques de Caen (June 29-30, 2001), J. Théorie Nombres Bordeaux (2003) (to appear).

  5. V. V. Zudilin (W. Zudilin), in: E-print math.NT/ 0201024 (January 2002).

  6. M. Petkovšek, H. S. Wilf, and D. Zeilberger, A = B, A. K. Peters, Ltd., Wellesley (M.A.), 1997.

    Google Scholar 

  7. V. V. Zudilin (W. Zudilin), in: E-print math.NT/0202159 (February 2002).

  8. D. V. Vasilyev, Preprint no. 1 (558), Nat. Acad. Sci. Belarus, Institute Math., Minsk, 2001.

  9. V. V. Zudilin, Uspekhi Mat. Nauk [Russian Math. Surveys], 57 (2002), no. 4, 177-178.

    Google Scholar 

  10. F. Beukers, Bull. London Math. Soc., 11 (1979), no. 3, 268-272.

    Google Scholar 

  11. R. W. Gosper, Letters of 24.10.2000 and 25.10.2000, in: Favorite Mathematical Constants (S. Finch, editor), http://pauillac.inria.fr/algo/bsolve/constant/apery/infprd.html, 2000.

  12. E. A. Karatsuba, Problemy Peredachi Informatsii [Problems Inform. Transmission], 31 (1995), no. 4, 69-80.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zudilin, V.V. A Third-Order Apéry-Like Recursion for ζ(5). Mathematical Notes 72, 733–737 (2002). https://doi.org/10.1023/A:1021473409544

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1021473409544

Navigation