The Ramanujan Journal

, Volume 29, Issue 1–3, pp 51–67 | Cite as

Ramanujan-type partial theta identities and conjugate Bailey pairs

  • Jeremy Lovejoy


Residual identities of Ramanujan-type partial theta identities are tailor-made for producing conjugate Bailey pairs. This is carried out for partial theta identities in Ramanujan’s lost notebook, a number of the partial theta identities of Warnaar, and for some new ones as well.


Bailey pairs Conjugate Bailey pairs Partial theta identities Mixed mock modular forms 

Mathematics Subject Classification (2000)



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© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.CNRS, LIAFAUniversité Denis Diderot-Paris 7Paris Cedex 13France

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