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

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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

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Number Theory, Classical Analysis and ODEs, 11J72

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http://salesiana.dossiersoluciones.com/handle/123456789/144874

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0712.4002
 http://arxiv.org/abs/0712.4002

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arXiv