## Abstract

We show that the free energy of the three-state τ_{2}(t _{q}) model can be expressed as products of Jacobi elliptic functions, the arguments being those of an hyperelliptic parametrization of the associated chiral Potts model. This is the first application of such a parametrization to the N-state chiral Potts free-energy problem for N> 2.

Original language | English |
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Pages (from-to) | 3323-3341 |

Number of pages | 19 |

Journal | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |

Volume | 462 |

Issue number | 2075 |

DOIs | |

Publication status | Published - 8 Nov 2006 |

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