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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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| Main Authors: | , , |
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| Format: | Artigo |
| Sprog: | Inglês |
| Udgivet: |
National Academy of Sciences
2014
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| Fag: | |
| Online adgang: | 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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