Geodesic
A binomial coefficient identity associated with Beukers' conjecture on {A}péry numbers
The electronic journal of combinatorics, Tome 11 (2004) no. 1

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Zbl EuDML
By means of partial fraction decomposition, an algebraic identity on rational function is established. Its limiting case leads us to a harmonic number identity, which in turn has been shown to imply Beukers' conjecture on the congruence of Apéry numbers.
DOI : 10.37236/1856
Classification : 05A19, 11P83
Mots-clés : harmonic numbers, combinatorial identities 
Wenchang Chu. A binomial coefficient identity associated with Beukers' conjecture on {A}péry numbers. The electronic journal of combinatorics, Tome 11 (2004) no. 1. doi: 10.37236/1856
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     author = {Wenchang Chu},
     title = {A binomial coefficient identity associated with {Beukers'} conjecture on {{A}p\'ery} numbers},
     journal = {The electronic journal of combinatorics},
     year = {2004},
     volume = {11},
     number = {1},
     doi = {10.37236/1856},
     zbl = {1062.05016},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1856/}
}
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