### Abstract

In this report I sanitise (in the sense of 'bring some sanity to') the arguments of earlier reports detailing the correspondence between sequences (M + hS)_{-∞<h<∞} of divisors on elliptic and genus two hyperelliptic curves, the continued fraction expansion of quadratic irrational functions in the relevant elliptic and hyperelliptic function fields, and certain integer sequences satisfying relations of Somos type. I note that one may often readily determine the coefficients in those relations by elementary linear algebra.

Original language | English |
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Title of host publication | Algorithmic Number Theory - 7th International Symposium, ANTS-VII, Proceedings |

Editors | Florian Hess, Sebastian Pauli, Michael Pohst |

Publisher | Springer, Springer Nature |

Pages | 393-405 |

Number of pages | 13 |

Volume | 4076 LNCS |

ISBN (Print) | 3540360751, 9783540360759 |

Publication status | Published - 2006 |

Event | 7th International Symposium on Algorithmic Number Theory, ANTS-VII - Berlin, Germany Duration: 23 Jul 2006 → 28 Jul 2006 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 4076 LNCS |

ISSN (Print) | 03029743 |

ISSN (Electronic) | 16113349 |

### Other

Other | 7th International Symposium on Algorithmic Number Theory, ANTS-VII |
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Country | Germany |

City | Berlin |

Period | 23/07/06 → 28/07/06 |

## Fingerprint Dive into the research topics of 'Determined sequences, continued fractions, and hyperelliptic curves'. Together they form a unique fingerprint.

## Cite this

Van Der Poorten, A. J. (2006). Determined sequences, continued fractions, and hyperelliptic curves. In F. Hess, S. Pauli, & M. Pohst (Eds.),

*Algorithmic Number Theory - 7th International Symposium, ANTS-VII, Proceedings*(Vol. 4076 LNCS, pp. 393-405). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4076 LNCS). Springer, Springer Nature.