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}
}
  • K. Ono
  • Published 2008
  • Mathematics
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… 

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