Shackell, John
(1993)
*
Zero-equivalence in function-fields defined by algebraic differential-equations.
*
Transactions of the American Mathematical Society,
336
(1).
pp. 151-171.
ISSN 0002-9947.
(doi:10.2307/2154342)
(The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)
(KAR id:20672)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |

Official URL: http://dx.doi.org/10.2307/2154342 |

## Abstract

We consider function fields obtained as towers over the field of rational functions, each extension being by a solution of an algebraic differential equation. On the assumption that an oracle exists for the constants, we present two algorithms for determining whether a given expression is functionally equivalent to zero in such a field. The first, which uses Grobner bases, has the advantage of theoretical simplicity, but is liable to involve unnecessary computations. The second method is designed with a view to eliminating these.

Item Type: | Article |
---|---|

DOI/Identification number: | 10.2307/2154342 |

Uncontrolled keywords: | zero equivalence; functional equivalence; symbolic computation; computer algebra |

Subjects: | Q Science > QA Mathematics (inc Computing science) |

Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |

Depositing User: | O.O. Odanye |

Date Deposited: | 24 Jul 2009 19:12 UTC |

Last Modified: | 16 Nov 2021 09:58 UTC |

Resource URI: | https://kar.kent.ac.uk/id/eprint/20672 (The current URI for this page, for reference purposes) |

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