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arXiv:1306.3919 [math.NT]AbstractReferencesReviewsResources

Holomorphic projections and Ramanujan's mock theta functions

Özlem Imamoglu, Martin Raum, Olav K. Richter

Published 2013-06-17, updated 2014-02-10Version 2

We employ spectral methods of automorphic forms to establish a holomorphic projection operator for tensor products of vector-valued harmonic weak Maass forms and vector-valued modular forms. We apply this operator to discover simple recursions for Fourier series coefficients of Ramanujan's mock theta functions.

Comments: To appear in PNAS
Categories: math.NT, math.CO
Subjects: 11F30, 11F37, 11F27
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