2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74322By means of partial fraction method, we investigate the decomposition of rational functions. Several striking identities on harmonic numbers and generalized Apery numbers will be established, including the binomial-harmonic number identity associated with Beukers' conjecture on Apery numbers.11 pagesCombinatoricsNumber Theory05A10, 11B75Partial-Fraction Decompositions and Harmonic Number Identitiestext