## Title data

Kühn, Ulf ; Müller, Jan Steffen:

**A height inequality for rational points on elliptic curves implied by the abc-conjecture.**

*In:* Functiones et Approximatio Commentarii Mathematici.
Vol. 52
(2015)
Issue 1
.
- pp. 127-132.

ISSN 0208-6573

DOI: https://doi.org/10.7169/facm/2015.52.1.10

## Abstract in another language

n this short note we show that the uniform abc-conjecture puts strong restrictions on the coordinates of rational points on elliptic curves. For the proof we use a variant of Vojta’s height inequality formulated by Mochizuki. As an application, we generalize a result of Silverman on elliptic non-Wieferich primes.

## Further data

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

Refereed: | Yes |

Subject classification: | 2010 Mathematics Subject Classification: primary: 11G05; secondary: 11G50 |

Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II (Computer Algebra) 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: | 04 May 2017 11:02 |

Last Modified: | 04 May 2017 11:02 |

URI: | https://eref.uni-bayreuth.de/id/eprint/36945 |