On the seventh order mock theta functions

@article{Hickerson1988OnTS,
  title={On the seventh order mock theta functions},
  author={Dean R. Hickerson},
  journal={Inventiones mathematicae},
  year={1988},
  volume={94},
  pages={661-677}
}
  • D. Hickerson
  • Published 1 October 1988
  • Mathematics
  • Inventiones mathematicae
In a recent paper [H], we proved the "Mock Theta Conjectures". These are identities, stated by Ramanujan in his "lost notebook" JR2, pp. 19-20], involving two of the 5th order mock 0-functions. In fact, Ramanujan gave one such identity for each of the ten 5th order functions; as shown in [A-G1], these ten identities are all equivalent to the two proved in I-HI. In this paper, we prove the corresponding identities for Ramanujan's 7th order mock 0-functions, and show how they are related to rank… 
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