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 the first six of Ramanujan's tenth order mock theta function identities. It is the purpose of this paper to prove the seventh and eighth identities of Ramanujan's tenth order mock theta function identities which are expressed by mock theta functions and a definite integral. L. J. Mordell's… 
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References

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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
Modular Functions In Analytic Number Theory
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The Final Problem : An Account of the Mock Theta Functions
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