Publication:
Operations on elliptic divisibility sequences

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dc.contributor.buuauthorBizim, Osman
dc.contributor.buuauthorGezer, Betül
dc.contributor.departmentFen Edebiyat Fakültesi
dc.contributor.departmentMatematik Bölümü
dc.contributor.researcheridAAH-1468-2021
dc.contributor.researcheridAAH-1547-2021
dc.contributor.scopusid9245697900
dc.contributor.scopusid24485316600
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].
dc.identifier.citationBizim, O. ve Gezer, B. (2018). ''Operations on elliptic divisibility sequences''. Bulletin of the Korean Mathematical Society, 55(3), 763-776.
dc.identifier.endpage776
dc.identifier.issn1015-8634
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85047925887
dc.identifier.startpage763
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.volume55
dc.identifier.wos000433164500006
dc.indexed.wosSCIE
dc.language.isoen
dc.publisherKorean Mathematical Soc
dc.relation.journalBulletin of the Korean Mathematical Society
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectMathematics
dc.subjectElliptic divisibility sequences
dc.subjectOperations on bilinear sequences
dc.subjectPeriodicity properties of product sequences
dc.subjectElliptic curves
dc.subjectCurves
dc.subject.scopusSet; ABC Conjecture; Divisibility
dc.subject.wosMathematics
dc.titleOperations on elliptic divisibility sequences
dc.typeArticle
dc.wos.quartileQ4
dspace.entity.typePublication
local.contributor.departmentFen Edebiyat Fakültesi/Matematik Bölümü
local.indexed.atScopus
local.indexed.atWOS

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