A Binomial Coefficient Identity Associated with Beukers' Conjecture on Apéry numbers

  • Wenchang Chu
DOI: https://doi.org/10.37236/1856

Abstract

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.

Published
2004-11-22
How to Cite
Chu, W. (2004). A Binomial Coefficient Identity Associated with Beukers’ Conjecture on Apéry numbers. The Electronic Journal of Combinatorics, 11(1), N15. https://doi.org/10.37236/1856
Issue
Volume 11, Issue 1 (2004)
Article Number
N15