Holomorphic projections and Ramanujan's mock theta functions
Number Theory
2022-04-27 v2 Combinatorics
Abstract
We employ 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.
Cite
@article{arxiv.1306.3919,
title = {Holomorphic projections and Ramanujan's mock theta functions},
author = {Özlem Imamoglu and Martin Raum and Olav K. Richter},
journal= {arXiv preprint arXiv:1306.3919},
year = {2022}
}
Comments
To appear in PNAS