publication . Preprint . 2007

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

Mingarelli, Angelo B.;
Open Access English
  • Published: 24 Dec 2007
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,...
free text keywords: Mathematics - Number Theory, Mathematics - Classical Analysis and ODEs, 11J72
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Φ(p/q) = −1 +

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