 Ramanujan associated an order to his mock theta functions, which was not clearly defined.Before the work of Zwegers, the orders of known mock theta functions included

Ramanujan's notion of order later turned out to correspond to the conductor of the Nebentypus character of the weight harmonic Maass forms which admit Ramanujan's mock theta functions as their holomorphic projections.In the next few decades, Ramanujan's mock theta functions were studied by Watson, Andrews, Selberg, Hickerson, Choi, McIntosh, and others, who proved Ramanujan's statements about them and found several more examples and identities.