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

  • Wenchang Chu

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
Article Number
N15