The Final Problem : An Account of the Mock Theta Functions

@article{Watson1936TheFP,
title={The Final Problem : An Account of the Mock Theta Functions},
author={G. N. Watson},
journal={Journal of The London Mathematical Society-second Series},
year={1936},
volume={11},
pages={55-80}
}

We study mock and mixed mock modular forms in the lower half-plane. In particular, our results apply to Zwegers’ three-variable mock Jacobi form $${\mu(u,v;\tau)}$$μ(u,v;τ), three-variable… Expand

In Ramanujan’s final letter to Hardy, he wrote of a strange new class of infinite series he called “mock theta functions”. It turns out all of Ramanujan’s mock theta functions are essentially… Expand

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Motivated by the works of Liu, we provide a unified approach to find Appell-Lerch series and Hecke-type series representations for mock theta functions. We establish a number of parameterized… Expand

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… Expand