Rational points in geometric progression on the unit circle
PUBLICATIONES MATHEMATICAE-DEBRECEN, cilt.98, ss.513-520, 2021 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 98
- Basım Tarihi: 2021
- Doi Numarası: 10.5486/pmd.2021.9046
- Dergi Adı: PUBLICATIONES MATHEMATICAE-DEBRECEN
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
- Sayfa Sayıları: ss.513-520
- Bursa Uludağ Üniversitesi Adresli: Evet
Özet
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.