Borwein and bradley's aperv-like formulae for ζ(4n + 3)

Experimental Mathematics

Volumn 8, Issue 2, 1999, Pages 197-203

  Almkvist, Gert ^a   Granville, Andrew ^b  

^a LUND UNIVERSITY   (Sweden)

^b UNIVERSITY OF GEORGIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033243811     PISSN: 10586458     EISSN: 1944950X     Source Type: Journal    
DOI: 10.1080/10586458.1999.10504398     Document Type: Article

References (10)

1. T. Amdeberhan and D. Zeilberger, “Hypergeometric series acceleration via the WZ method”, Electron. J. Combin. 4: 2 (1997), R3, 4 pp.
2. R. Apéry, “Interpolation de fractions continues et irrationalite de certaines constantes”, pp. 37-53 in Mathematics, CTHS: Bull. Sec. Sci. Ill, Bib. Nat., Paris, 1981.
3. J. Borwein and D. Bradley, “Empirically determined Apéry-like formulae for ζ (4n + 3)”, Experiment. Math. 6: 3 (1997), 181-194.
4. M. Koecher, Math. Intelligencer 2 (1980), 62-64. Letter to the editor.
5. D. H. Lehmer, “Interesting series involving the central binomial coefficient”, Amer. Math. Monthly 92: 7 (1985), 449-457.
6. D. Leshchiner, “Some new identities for C(fc)”, J. Number Theory 13: 3 (1981), 355-362.
7. A. van der Poorten, “A proof that Euler missed. Apéry’s proof of the irrationality of C (3): an informal report”, Math. Intelligencer 1: 4 (1979), 195-203.
8. A. J. van der Poorten, “Some wonderful formulas… an introduction to polylogarithms”, pp. 269-286 in Proceedings of the Queen’s Number Theory Conference (Kingston, 1979), edited by P. Ribenboim, Queen’s Papers in Pure and Applied Mathematics 54, Queen’s Univ., Kingston, Ont., 1980.
9. H. S. Wilf and D. Zeilberger, “Rational functions certify combinatorial identities”, J. Amer. Math. Soc. 3: 1 (1990), 147-158.
10. I. J. Zucker, “On the series (formula presented) and related sums”, J. Number Theory 20: 1 (1985), 92-102.