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

Eric T. Mortenson

doi:10.1007/s11139-025-01139-x

paper

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

arXiv:2308.16144 · doi:10.1007/s11139-025-01139-x

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.

9 pages

Short proofs of Ramanujan-like identities for the eighth order mock theta function V0​(q)

Abstract

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