2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76866Using WZ forms, Apery-style proofs of the irrationality of the q-analogues of the Harmonic seires and Ln(2) are given. For the q-analogue of Ln(2), this method of proof produces an improved irrationality measure.9 pages. See also http://www.math.temple.edu/~zeilberg/mamarim/mamarimhtml/qapery.htmlNumber TheoryCombinatorics11 (primary), 05 (secondary)text