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arXiv · 2308.16144

Short proofs of Ramanujan-like identities for the eighth order mock theta function $V_{0}(q)$

Eric T. Mortenson
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Abstract

Using Appell function properties we give short proofs of Ramanujan-like identities for the eighth order mock theta function $V_0(q)$ after work of Chan and Mao; Mao; and Brietzke, da Silva, and Sellars. We also present a generalization of the identities in the spirit of celebrated results of Bringmann, Ono, and Rhoades on Dyson's ranks and Maass forms.

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Eric T. Mortenson. 2023-08-30. Short proofs of Ramanujan-like identities for the eighth order mock theta function $V_{0}(q)$. https://doi.org/10.1007/s11139-025-01139-x

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