Title | **Automatic solution of families of Thue equations and an example of degree 8** |

Author(s) | Clemens Heuberger, Alain Togbé, Volker Ziegler |

Type | Article in Journal |

Abstract | We describe a procedure implemented in Mathematica® to solve parametrized families of Thue equations Fn(X,Y)=±1, where Fn is a binary irreducible form in X and Y of degree d≥3 whose coefficients are polynomials in the parameter n. This procedure uses Baker’s method and asymptotic expansions of the quantities involved with exact remainder terms. As an example, we solve a family of degree 8. |

ISSN | 0747-7171 |

URL |
http://www.sciencedirect.com/science/article/pii/S0747717104000604 |

Language | English |

Journal | Journal of Symbolic Computation |

Volume | 38 |

Number | 3 |

Pages | 1145 - 1163 |

Year | 2004 |

Edition | 0 |

Translation |
No |

Refereed |
No |