Geodesic
A binomial coefficient identity associated with Beukers' conjecture on {A}péry numbers
The electronic journal of combinatorics, Tome 11 (2004) no. 1
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

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 
@article{10_37236_1856,
     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/}
}
TY  - JOUR
AU  - Wenchang Chu
TI  - A binomial coefficient identity associated with Beukers' conjecture on {A}péry numbers
JO  - The electronic journal of combinatorics
PY  - 2004
VL  - 11
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.37236/1856/
DO  - 10.37236/1856
ID  - 10_37236_1856
ER  - 
%0 Journal Article
%A Wenchang Chu
%T A binomial coefficient identity associated with Beukers' conjecture on {A}péry numbers
%J The electronic journal of combinatorics
%D 2004
%V 11
%N 1
%U http://geodesic.mathdoc.fr/articles/10.37236/1856/
%R 10.37236/1856
%F 10_37236_1856
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

Cité par Sources :