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

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dc.creatorMingarelli, Angelo B.
dc.date2007-12-24
dc.date.accessioned2026-07-07T08:51:15Z
dc.date.available2026-07-07T08:51:15Z
dc.descriptionWe 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,...
dc.descriptionPreprint, Dec. 24, 2007: 11 pages
dc.identifierhttps://arxiv.org/abs/0712.4002
dc.identifierhttp://arxiv.org/abs/0712.4002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144874
dc.subjectNumber Theory
dc.subjectClassical Analysis and ODEs
dc.subject11J72
dc.titleOn the irrationality of Ramanujan's mock theta functions and other q-series at an infinite number of points
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