REFERENCES
R. Apéry, Astérisque, 61 (1979), 11-13.
A. Van der Poorten, Math. Intelligencer, 1 (1978/79), no. 4, 195-203.
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.
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).
V. V. Zudilin (W. Zudilin), in: E-print math.NT/ 0201024 (January 2002).
M. Petkovšek, H. S. Wilf, and D. Zeilberger, A = B, A. K. Peters, Ltd., Wellesley (M.A.), 1997.
V. V. Zudilin (W. Zudilin), in: E-print math.NT/0202159 (February 2002).
D. V. Vasilyev, Preprint no. 1 (558), Nat. Acad. Sci. Belarus, Institute Math., Minsk, 2001.
V. V. Zudilin, Uspekhi Mat. Nauk [Russian Math. Surveys], 57 (2002), no. 4, 177-178.
F. Beukers, Bull. London Math. Soc., 11 (1979), no. 3, 268-272.
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.
E. A. Karatsuba, Problemy Peredachi Informatsii [Problems Inform. Transmission], 31 (1995), no. 4, 69-80.
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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
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DOI: https://doi.org/10.1023/A:1021473409544