### Abstract

The theory of the cubic theta function ∑qm2+mn+n2z1mz2n is developed analogously to the theory of the classical Jacobian theta functions. Many inversion formulas, addition formulas, and modular equations are derived, and these results extend previous work on cubic theta functions.

Original language | English (US) |
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Pages (from-to) | 618-697 |

Number of pages | 80 |

Journal | Advances in Mathematics |

Volume | 248 |

DOIs | |

State | Published - Nov 25 2013 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

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## Cite this

Schultz, D. P. (2013). Cubic theta functions.

*Advances in Mathematics*,*248*, 618-697. https://doi.org/10.1016/j.aim.2013.08.021