Holomorphic projections and Ramanujan's mock theta functions.
نویسندگان
چکیده
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.
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ورودعنوان ژورنال:
- Proceedings of the National Academy of Sciences of the United States of America
دوره 111 11 شماره
صفحات -
تاریخ انتشار 2014