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

Mathematics – Number Theory

Scientific paper

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Preprint, Dec. 24, 2007: 11 pages

Scientific paper

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,...

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