[Abstract] Frank G. Garvan, New fifth and seventh order mock theta function identities, Annals of Combinatorics, 23 (2019), no. 3-4, 765-783.


Abstract: We give simple proofs of Hecke-Rogers indefinite binary theta series identities for the two Ramanujan fifth order mock theta functions $\chi_0(q)$ and $\chi_1(q)$ and all three of Ramanujan's seventh order mock theta functions. We find that the coefficients of the three mock theta functions of order $7$ are surprisingly related.

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Created by F.G. Garvan (fgarvan@ufl.edu) on Tuesday, October 9, 2018.
Last update made Sun Dec 8 15:42:57 EST 2019.


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