# Unearthing the visions of a master: harmonic Maass forms and number theory

@inproceedings{Ono2008UnearthingTV, title={Unearthing the visions of a master: harmonic Maass forms and number theory}, author={Ken Ono}, year={2008} }

Together with his collaborators, most notably Kathrin Bringmann and Jan Bruinier, the author has been researching harmonic Maass forms. These non-holomorphic modular forms play central roles in many subjects: arithmetic geometry, combinatorics, modular forms, and mathematical physics. Here we outline the general facets of the theory, and we give several applications to number theory: partitions and q-series, modular forms, singular moduli, Borcherds products, extensions of theorems of Kohnen…

## 213 Citations

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In a recent paper, Bruinier and Ono proved that certain harmonic weak Maass forms have the property that the Fourier coefficients of their holomorphic parts are algebraic traces of weak Maass forms…

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