Çelik, Gamze Savaş and Sadek, Mohammad and Soydan, Gökhan
(2021)
*Rational points in geometric progression on the unit circle.*
Publicationes Mathematicae, 98
(3-4).
pp. 513-520.
ISSN 0033-3883 (Print) 2064 - 2849 (Online)

Official URL: https://dx.doi.org/10.5486/PMD.2021.9046

## Abstract

A sequence of rational points on an algebraic planar curve is said to form an r-geometric progression sequence if either the abscissae or the ordinates of these points form a geometric progression sequence with ratio r. In this work, we prove the existence of infinitely many rational numbers r such that for each r there exist infinitely many r-geometric progression sequences on the unit circle x2 + y2 = 1 of length at least 3.

Item Type: | Article |
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Uncontrolled Keywords: | And phrases: elliptic curve; Geometric progression; Huff curve; Rational point; Unit circle |

Divisions: | Faculty of Engineering and Natural Sciences |

Depositing User: | IC-Cataloging |

Date Deposited: | 03 Sep 2022 21:12 |

Last Modified: | 03 Sep 2022 21:12 |

URI: | https://research.sabanciuniv.edu/id/eprint/43474 |