Operations on elliptic divisibility sequences

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dc.contributor.buuauthorBizim, Osman
dc.contributor.buuauthorGezer, Betül
dc.contributor.departmentUludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.tr_TR
dc.contributor.researcheridAAH-1468-2021tr_TR
dc.contributor.researcheridAAH-1547-2021tr_TR
dc.contributor.scopusid9245697900tr_TR
dc.contributor.scopusid24485316600tr_TR
dc.date.accessioned2023-11-20T13:39:06Z
dc.date.available2023-11-20T13:39:06Z
dc.date.issued2018
dc.description.abstractIn this paper we consider the element-wise (Hadamard) product (or sum) of elliptic divisibility sequences and study the periodic structure of these sequences. We obtain that the element-wise product (or sum) of elliptic divisibility sequences are periodic modulo a prime p like linear recurrence sequences. Then we study periodicity properties of product sequences. We generalize our results to the case of modulo p(l) for some prime p > 3 and positive integer l. Finally we consider the p-adic behavior of product sequences and give a generalization of [9, Theorem 4].en_US
dc.identifier.citationBizim, O. ve Gezer, B. (2018). ''Operations on elliptic divisibility sequences''. Bulletin of the Korean Mathematical Society, 55(3), 763-776.en_US
dc.identifier.endpage776tr_TR
dc.identifier.issn1015-8634
dc.identifier.issue3tr_TR
dc.identifier.scopus2-s2.0-85047925887tr_TR
dc.identifier.startpage763tr_TR
dc.identifier.urihttps://doi.org/10.4134/BKMS.b170227
dc.identifier.urihttp://koreascience.or.kr/article/JAKO201816269582192.page
dc.identifier.urihttp://hdl.handle.net/11452/34954
dc.identifier.volume55tr_TR
dc.identifier.wos000433164500006
dc.indexed.scopusScopusen_US
dc.indexed.wosSCIEen_US
dc.language.isoenen_US
dc.publisherKorean Mathematical Socen_US
dc.relation.journalBulletin of the Korean Mathematical Societyen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergitr_TR
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectMathematicsen_US
dc.subjectElliptic divisibility sequencesen_US
dc.subjectOperations on bilinear sequencesen_US
dc.subjectPeriodicity properties of product sequencesen_US
dc.subjectElliptic curvesen_US
dc.subjectCurvesen_US
dc.subject.scopusSet; ABC Conjecture; Divisibilityen_US
dc.subject.wosMathematicsen_US
dc.titleOperations on elliptic divisibility sequencesen_US
dc.typeArticle
dc.wos.quartileQ4en_US

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