[Abstract] F.G. Garvan; Universal mock theta functions and two-variable Hecke-Rogers identities , preprint.


Abstract:

We obtain two-variable Hecke-Rogers identities for three universal mock theta functions. This implies that many of Ramanujan's mock theta functions, including all the third order functions, have a Hecke-Rogers-type double sum representation. We find new generating function identities for the Dyson rank function, the overpartition rank function, the $M2$-rank function and related spt-crank functions. Results are proved using the theory of basic hypergeometric functions.

The url of this page is http://qseries.org/fgarvan/abstracts/gen-frob-congs.html.
Created by F.G. Garvan (fgarvan@ufl.edu) on Saturday, February 8, 2014.
Last update made Sat Feb 8 14:16:12 EST 2014.

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