Geodesic
Beukers' integrals and Apéry's recurrences
Journal of integer sequences, Tome 8 (2005) no. 1
We give a new and completely elementary proof of the fact that the rational approximations to $\pi ^{2}$ obtained by Apéry in his famous proof of the irrationality of certain values of the Riemann zeta function are identical to those obtained by Beukers in one of his alternative proofs of Apéry's result.
Keywords: beukers' integrals, apéry's recurrences 
@article{JIS_2005__8_1_a7,
     author = {Jain,  Lalit and Tzermias,  Pavlos},
     title = {Beukers' integrals and {Ap\'ery's} recurrences},
     journal = {Journal of integer sequences},
     year = {2005},
     volume = {8},
     number = {1},
     zbl = {1078.11049},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2005__8_1_a7/}
}
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Jain,  Lalit; Tzermias,  Pavlos. Beukers' integrals and Apéry's recurrences. Journal of integer sequences, Tome 8 (2005) no. 1. http://geodesic.mathdoc.fr/item/JIS_2005__8_1_a7/