## Title data

Stoll, Michael:

**Rational 6-cycles under iteration of quadratic polynomials.**

*In:* LMS Journal of Computation and Mathematics.
Vol. 11
(November 2008)
.
- pp. 367-380.

ISSN 1461-1570

DOI: https://doi.org/10.1112/S1461157000000644

## Abstract in another language

We present a proof, which is conditional on the Birch and

Swinnerton-Dyer Conjecture for a specific abelian variety, that there do not exist rational numbers x and c such that x has exact period N = 6 under the iteration x → x^2 + c. This extends earlier results by Morton for N = 4 and by Flynn, Poonen and Schaefer for N = 5.

## Further data

Item Type: | Article in a journal |
---|---|

Refereed: | Yes |

Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II > Chair Mathematics II - Univ.-Prof. Dr. Michael Stoll Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics |

Result of work at the UBT: | Yes |

DDC Subjects: | 500 Science > 510 Mathematics |

Date Deposited: | 21 Jan 2015 14:38 |

Last Modified: | 27 Jan 2015 13:02 |

URI: | https://eref.uni-bayreuth.de/id/eprint/5781 |