Tenth order mock theta functions in Ramanujan's Lost Notebook

@article{Choi1999TenthOM,
  title={Tenth order mock theta functions in Ramanujan's Lost Notebook},
  author={Youn-Seo Choi},
  journal={Inventiones mathematicae},
  year={1999},
  volume={136},
  pages={497-569}
}
  • Youn-Seo Choi
  • Published 19 May 1999
  • Mathematics
  • Inventiones mathematicae
Ramanujan's lost notebook contains many results on mock theta functions. In particular, the lost notebook contains eight identities for tenth order mock theta functions. Previously, the author proved six of the eight tenth order mock theta function identities. It is the purpose of this paper to prove the fifth and sixth identities of Ramanujan's tenth order mock theta functions. The properties of modular forms are used for the proofs of theta function identities. 

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