Publication: On the product of translated division polynomials and somos sequences
dc.contributor.author | Gezer, Betül | |
dc.contributor.author | Bizim, Osman | |
dc.contributor.buuauthor | GEZER, BETÜL | |
dc.contributor.buuauthor | BİZİM, OSMAN | |
dc.contributor.department | Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü. | |
dc.contributor.researcherid | AAH-1547-2021 | |
dc.contributor.researcherid | AAH-1468-2021 | |
dc.date.accessioned | 2024-10-24T07:55:04Z | |
dc.date.available | 2024-10-24T07:55:04Z | |
dc.date.issued | 2023-09-01 | |
dc.description.abstract | We consider the product sequences of the sequences (psi n(P)), (phi n(P)), and (omega n(P)) (n is an element of N) of values of the translated division polynomials of an elliptic curve E/K evaluated at a point P is an element of E(K)2. We prove that these sequences are purely periodic when K is a finite field. Then we use p-adic properties of these sequences to obtain p-adic convergence of product of the Somos 4 and Somos 5 sequences. | |
dc.identifier.doi | 10.7169/facm/2038 | |
dc.identifier.endpage | 75 | |
dc.identifier.issn | 0208-6573 | |
dc.identifier.issue | 1 | |
dc.identifier.startpage | 55 | |
dc.identifier.uri | https://doi.org/10.7169/facm/2038 | |
dc.identifier.uri | https://hdl.handle.net/11452/46996 | |
dc.identifier.volume | 69 | |
dc.identifier.wos | 001078217200003 | |
dc.indexed.wos | WOS.ESCI | |
dc.language.iso | en | |
dc.publisher | Wydawnictwo Naukowe Uam | |
dc.relation.journal | Functiones et Approximatio Commentarii Mathematici | |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi | |
dc.relation.tubitak | 118F322 | |
dc.rights | info:eu-repo/semantics/closedAccess | |
dc.subject | Elliptic nets | |
dc.subject | Periodicity | |
dc.subject | Elliptic curves | |
dc.subject | Translated division polynomials | |
dc.subject | Somos sequences | |
dc.subject | Mathematics | |
dc.title | On the product of translated division polynomials and somos sequences | |
dc.type | Article | |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | 6db39a60-7c04-4571-b528-8bee31473d4b | |
relation.isAuthorOfPublication | 48250e80-7b2a-4d52-9aa4-ea5c2e2ff62d | |
relation.isAuthorOfPublication.latestForDiscovery | 6db39a60-7c04-4571-b528-8bee31473d4b |