Publication:
Rational points in geometric progression on the unit circle

dc.contributor.authorÇelik, Gamze Savaş
dc.contributor.authorSadek, Mohammad
dc.contributor.authorSoydan, Gökhan
dc.contributor.buuauthorÇelik, Gamze Savaş
dc.contributor.buuauthorSOYDAN, GÖKHAN
dc.contributor.departmentBursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.orcid0000-0002-6321-4132
dc.contributor.researcheridEPC-6610-2022
dc.contributor.researcheridGEK-9891-2022
dc.date.accessioned2024-06-24T08:24:22Z
dc.date.available2024-06-24T08:24:22Z
dc.date.issued2021-01-01
dc.description.abstractA 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.
dc.identifier.doi10.5486/PMD.2021.9046
dc.identifier.endpage520
dc.identifier.issn0033-3883
dc.identifier.issue3-4
dc.identifier.startpage513
dc.identifier.urihttps://doi.org/10.5486/PMD.2021.9046
dc.identifier.urihttps://publi.math.unideb.hu/load_doi.php
dc.identifier.urihttps://arxiv.org/pdf/2010.03830
dc.identifier.urihttps://hdl.handle.net/11452/42261
dc.identifier.volume98
dc.identifier.wos000647271800016
dc.indexed.wosWOS.SCI
dc.language.isoen
dc.publisherKossuth Lajos Tudomanyegyetem
dc.relation.bapF-2020/8
dc.relation.journalPublicationes Mathematicae-debrecen
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectElliptic curve
dc.subjectGeometric progression
dc.subjectHuff curve
dc.subjectRational point
dc.subjectUnit circle
dc.subjectScience & technology
dc.subjectPhysical sciences
dc.subjectMathematics
dc.titleRational points in geometric progression on the unit circle
dc.typeArticle
dspace.entity.typePublication
relation.isAuthorOfPublication356f7af9-3f0f-4c82-8733-d98627634647
relation.isAuthorOfPublication.latestForDiscovery356f7af9-3f0f-4c82-8733-d98627634647

Files

Collections