Publication:
Sequences associated to elliptic curves with non-cyclic torsion subgroup

dc.contributor.authorGezer, Betül
dc.contributor.buuauthorGEZER, BETÜL
dc.contributor.departmentBursa Uludağ Üniversitesi/Fen Fakültesi/Matematik Bölümü
dc.contributor.researcheridAAH-1547-2021
dc.date.accessioned2024-07-03T07:29:24Z
dc.date.available2024-07-03T07:29:24Z
dc.date.issued2020-01-01
dc.description.abstractLet E be an elliptic curve defined over K given by a Weierstrass equation and let P = (x, y) is an element of E(K) be a point. Then for each n >= 1 we can write the x- and y-coordinates of the point [n]P as[n]P = (G(n)(P)/F-n(2)(P), H-n(P)/F-n(3)(P))where F-n, G(n), and H-n is an element of K[x, y] are division polynomials of E. In this work we give explicit formulas for sequences(F-n(P))(n >= 0), (G(n)(P))(n >= 0), and (H-n(P))(n >= 0)associated to an elliptic curve E defined over Q with non-cyclic torsion subgroup. As applications we give similar formulas for elliptic divisibility sequences associated to elliptic curves with non-cyclic torsion subgroup and determine square terms in these sequences.
dc.identifier.doi10.15672/hujms.464130
dc.identifier.eissn2651-477X
dc.identifier.endpage1470
dc.identifier.issue4
dc.identifier.startpage1458
dc.identifier.urihttps://doi.org/10.15672/hujms.464130
dc.identifier.urihttps://dergipark.org.tr/en/pub/hujms/issue/56305/464130
dc.identifier.urihttps://dergipark.org.tr/tr/download/article-file/905716
dc.identifier.urihttps://hdl.handle.net/11452/42777
dc.identifier.volume49
dc.identifier.wos000562117700020
dc.indexed.wosWOS.SCI
dc.language.isoen
dc.publisherHacettepe Üniversitesi
dc.relation.bapKUAP(F)-2017/3
dc.relation.journalHacettepe Matematik ve İstatistik Dergisi
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectIntegral points
dc.subjectDivision polynomials
dc.subjectExplicit valuations
dc.subjectSquares
dc.subjectTerms
dc.subjectElliptic curves
dc.subjectDivision polynomials
dc.subjectElliptic divisibility sequences
dc.subjectSquares
dc.subjectScience & technology
dc.subjectPhysical sciences
dc.subjectMathematics
dc.subjectStatistics & probability
dc.titleSequences associated to elliptic curves with non-cyclic torsion subgroup
dc.typeArticle
dspace.entity.typePublication
relation.isAuthorOfPublication6db39a60-7c04-4571-b528-8bee31473d4b
relation.isAuthorOfPublication.latestForDiscovery6db39a60-7c04-4571-b528-8bee31473d4b

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