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arXiv · 1201.6194

The Bailey chain and mock theta functions

Jeremy Lovejoy·Robert Osburn
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Abstract

Standard applications of the Bailey chain preserve mixed mock modularity but not mock modularity. After illustrating this with some examples, we show how to use a change of base in Bailey pairs due to Bressoud, Ismail and Stanton to explicitly construct families of q-hypergeometric multisums which are mock theta functions. We also prove identities involving some of these multisums and certain classical mock theta functions.

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Jeremy Lovejoy, Robert Osburn. 2012-01-30. The Bailey chain and mock theta functions. https://doi.org/10.1016/j.aim.2013.02.005

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