On the irrationality of Ramanujan's mock theta functions and other q-series at an infinite number of points

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144874We show that all of Ramanujan's mock theta functions of order 3, Watson's three additional mock theta functions of order 3, the Rogers-Ramanujan q-series, and 6 mock theta functions of order 5 take on irrational values at the points q=\pm 1/2,\pm 1/3,\pm 1/4,...Preprint, Dec. 24, 2007: 11 pagesNumber TheoryClassical Analysis and ODEs11J72On the irrationality of Ramanujan's mock theta functions and other q-series at an infinite number of pointstext