Holomorphic projections and Ramanujan's mock theta functions.
- Imamoğlu Ö Mathematics Department, Eidgenössische Technische Hochschule Zürich, 8092 Zurich, Switzerland.
- Raum M
- Richter OK
- 2014-03-05
Published in:
- Proceedings of the National Academy of Sciences of the United States of America. - 2014
English
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 functions.
- Language
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- English
- Open access status
- bronze
- Identifiers
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- DOI 10.1073/pnas.1311621111
- PMID 24591582
- Persistent URL
- https://folia.unifr.ch/global/documents/36659
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