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Holomorphic projections and Ramanujan’s mock theta functions

We use 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 f...

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Detalhes bibliográficos
Main Authors: Imamoğlu, Özlem, Raum, Martin, Richter, Olav K.
Formato: Artigo
Idioma:Inglês
Publicado em: National Academy of Sciences 2014
Assuntos:
Acesso em linha:https://ncbi.nlm.nih.gov/pmc/articles/PMC3964039/
https://ncbi.nlm.nih.gov/pubmed/24591582
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.1311621111
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