New fifth and seventh order mock theta function identities

Frank Garvan

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arXiv · 1907.04803

New fifth and seventh order mock theta function identities

Frank Garvan

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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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Frank Garvan. 2019-07-10. New fifth and seventh order mock theta function identities. https://arxiv.org/abs/1907.04803

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