Title | **Computing the algebraic relations of C-finite sequences and multisequences** |

Author(s) | Manuel Kauers, Burkhard Zimmermann |

Type | Article in Journal |

Abstract | We present an algorithm for computing generators for the ideal of algebraic relations among sequences which are given by homogeneous linear recurrence equations with constant coefficients. Knowing these generators makes it possible to use Gröbner basis methods for carrying out certain basic operations in the ring of such sequences effectively. In particular, one can answer the question whether a given sequence can be represented in terms of other given sequences. |

Keywords | C-finite sequences, Algebraic relations, Recurrence equations |

ISSN | 0747-7171 |

URL |
http://www.sciencedirect.com/science/article/pii/S074771710800045X |

Language | English |

Journal | Journal of Symbolic Computation |

Volume | 43 |

Number | 11 |

Pages | 787 - 803 |

Year | 2008 |

Edition | 0 |

Translation |
No |

Refereed |
No |