Publication: Rational points in geometric progression on the unit circle
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Date
2021-01-01
Authors
Çelik, Gamze Savaş
Authors
Çelik, Gamze Savaş
Sadek, Mohammad
Soydan, Gökhan
Journal Title
Journal ISSN
Volume Title
Publisher
Kossuth Lajos Tudomanyegyetem
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 x(2) + y(2) = 1 of length at least 3.
Description
Keywords
Elliptic curve, Geometric progression, Huff curve, Rational point, Unit circle, Science & technology, Physical sciences, Mathematics