On identities involving the sixth order mock theta functions
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- by Jeremy Lovejoy PDF
- Proc. Amer. Math. Soc. 138 (2010), 2547-2552 Request permission
Abstract:
We present $q$-series proofs of four identities involving sixth order mock theta functions from Ramanujan’s lost notebook. We also show how Ramanujan’s identities can be used to give a quick proof of four sixth order identities of Berndt and Chan.References
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Additional Information
- Jeremy Lovejoy
- Affiliation: Laboratorie d’Informatique Algorithmique: Fondements et Applications, CNRS UMR 7089, Université Denis Diderot - Paris 7, Case 7014, 75205 Paris Cedex 13, France
- MR Author ID: 671259
- Email: lovejoy@liafa.jussieu.fr
- Received by editor(s): November 19, 2009
- Published electronically: March 3, 2010
- Communicated by: Ken Ono
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 2547-2552
- MSC (2010): Primary 33D15
- DOI: https://doi.org/10.1090/S0002-9939-10-10296-2
- MathSciNet review: 2607884