2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/98193A motivated q-extension of the values of the Riemann zeta function at positive integers is presented. Several irrationality and transcendence results as well as new general problems for these q-zeta values are stated.6 pages, AmSTeX; to appear in Mat. Zametki [Math. Notes] 72 (2002)Number TheoryClassical Analysis and ODEsPrimary 11J72, 11J82; Secondary 33D15Diophantine problems for q-zeta valuestext