2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/98191A general hypergeometric construction of linear forms in (odd) zeta values is presented. The construction allows to recover the records of Rhin and Viola for the irrationality measures of $ζ(2)$ and $ζ(3)$, as well as to explain Rivoal's "infinitely-many" result (math.NT/0008051) and to prove that at least one of the four numbers $ζ(5)$, $ζ(7)$, $ζ(9)$, and $ζ(11)$ is irrational.42 pages, LaTeX; slight modification of the absractNumber TheoryClassical Analysis and ODEsPrimary 11J72, 11J82; Secondary 33C60text