Holomorphic projections and Ramanujan's mock theta functions.
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- Record sourced from PubMed, PMID 24591582.
- Also identified by DOI 10.1073/pnas.1311621111 and PMC identifier 3964039.
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Abstract
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.
Medical subject headings
- Fourier Analysis
- Mathematics
- Models, Theoretical