On the irrationality of Ramanujan's mock theta functions and other q-series at an infinite number of points
arXiv:0712.4002
Abstract
We 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 pages