Holomorphic projections and Ramanujan's mock theta functions

Published 17 Jun 2013 in math.NT and math.CO | (1306.3919v2)

Abstract: 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.

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