Publication: Sequences associated to elliptic curves with non-cyclic torsion subgroup
dc.contributor.author | Gezer, Betül | |
dc.contributor.buuauthor | GEZER, BETÜL | |
dc.contributor.department | Bursa Uludağ Üniversitesi/Fen Fakültesi/Matematik Bölümü | |
dc.contributor.researcherid | AAH-1547-2021 | |
dc.date.accessioned | 2024-07-03T07:29:24Z | |
dc.date.available | 2024-07-03T07:29:24Z | |
dc.date.issued | 2020-01-01 | |
dc.description.abstract | Let 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.doi | 10.15672/hujms.464130 | |
dc.identifier.eissn | 2651-477X | |
dc.identifier.endpage | 1470 | |
dc.identifier.issue | 4 | |
dc.identifier.startpage | 1458 | |
dc.identifier.uri | https://doi.org/10.15672/hujms.464130 | |
dc.identifier.uri | https://dergipark.org.tr/en/pub/hujms/issue/56305/464130 | |
dc.identifier.uri | https://dergipark.org.tr/tr/download/article-file/905716 | |
dc.identifier.uri | https://hdl.handle.net/11452/42777 | |
dc.identifier.volume | 49 | |
dc.identifier.wos | 000562117700020 | |
dc.indexed.wos | WOS.SCI | |
dc.language.iso | en | |
dc.publisher | Hacettepe Üniversitesi | |
dc.relation.bap | KUAP(F)-2017/3 | |
dc.relation.journal | Hacettepe Matematik ve İstatistik Dergisi | |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.subject | Integral points | |
dc.subject | Division polynomials | |
dc.subject | Explicit valuations | |
dc.subject | Squares | |
dc.subject | Terms | |
dc.subject | Elliptic curves | |
dc.subject | Division polynomials | |
dc.subject | Elliptic divisibility sequences | |
dc.subject | Squares | |
dc.subject | Science & technology | |
dc.subject | Physical sciences | |
dc.subject | Mathematics | |
dc.subject | Statistics & probability | |
dc.title | Sequences associated to elliptic curves with non-cyclic torsion subgroup | |
dc.type | Article | |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | 6db39a60-7c04-4571-b528-8bee31473d4b | |
relation.isAuthorOfPublication.latestForDiscovery | 6db39a60-7c04-4571-b528-8bee31473d4b |