L-FUNCTIONS OF ELLIPTIC CURVES AND BINARY RECURRENCES

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dc.contributor.authorLuca, Florian
dc.contributor.authorOyono, Roger
dc.contributor.authorYalciner, Aynur
dc.date.accessioned2020-03-26T18:42:21Z
dc.date.available2020-03-26T18:42:21Z
dc.date.issued2013
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractLet L(s; E) = Sigma(n >= 1)a(n)n(-s) be the L-series corresponding to an elliptic curve E defined over Q and u = {u(m)}(m >= 0) be a nondegenerate binary recurrence sequence. We prove that if M-E is the set of n such that a(n) not equal 0 and N-E is the subset of n is an element of M-E such that vertical bar a(n)vertical bar = vertical bar u(m)vertical bar holds with some integer m >= 0, then N-E is of density 0 as a subset of M-E.en_US
dc.description.sponsorshipTubitakTurkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK); Centro de Ciencias Matematicas of the UNAM in Morelia [PAPIIT IN104512]; Marcos Moshinsky Fellowship; projects CONACyT [163787, 193539]; Scientific Research Office (BAP) of Selcuk UniversitySelcuk Universityen_US
dc.description.sponsorshipWork on this paper began during a visit of F. L. to Turkey supported by Tubitak, and continued during a visit of R.O. to the Centro de Ciencias Matematicas of the UNAM in Morelia under Project PAPIIT IN104512. F. L. thanks Tubitak for financial support. F. L. was also supported in part by a Marcos Moshinsky Fellowship and projects CONACyT 163787 and 193539. The work of A.Y. was supported by Tubitak and the Scientific Research Office (BAP) of Selcuk University.en_US
dc.identifier.doi10.1017/S0004972713000166en_US
dc.identifier.endpage519en_US
dc.identifier.issn0004-9727en_US
dc.identifier.issn1755-1633en_US
dc.identifier.issue3en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage509en_US
dc.identifier.urihttps://dx.doi.org/10.1017/S0004972713000166
dc.identifier.urihttps://hdl.handle.net/20.500.12395/29612
dc.identifier.volume88en_US
dc.identifier.wosWOS:000328203100020en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherCAMBRIDGE UNIV PRESSen_US
dc.relation.ispartofBULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETYen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectL-functions of elliptic curvesen_US
dc.subjectlinear recurrence sequencesen_US
dc.titleL-FUNCTIONS OF ELLIPTIC CURVES AND BINARY RECURRENCESen_US
dc.typeArticleen_US

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