Squares in a certain sequence related to L-functions of elliptic curves

Basit Öğe Kaydı
dc.contributor.authorLuca, Florian
dc.contributor.authorYalciner, Aynur
dc.date.accessioned2020-03-26T18:43:29Z
dc.date.available2020-03-26T18:43:29Z
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 satisfying certain technical conditions. We prove that the set of positive integers n such that n(2) - a(n2) + 1 = square has asymptotic density 0. (C) 2013 Elsevier Inc. All rights reserved.en_US
dc.description.sponsorshipTubitakTurkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK); Scientific Research Office (BAP) of Selcuk UniversitySelcuk Universityen_US
dc.description.sponsorshipWe thank the referee for comments which improved the quality of this paper. F.L worked on this paper in 2012, during a visit to Turkey supported by Tubitak. He thanks Tubitak for financial support. Work of A.Y. was supported by Tubitak and the Scientific Research Office (BAP) of Selcuk University.en_US
dc.identifier.doi10.1016/j.ffa.2013.01.005en_US
dc.identifier.endpage10en_US
dc.identifier.issn1071-5797en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage1en_US
dc.identifier.urihttps://dx.doi.org/10.1016/j.ffa.2013.01.005
dc.identifier.urihttps://hdl.handle.net/20.500.12395/29839
dc.identifier.volume21en_US
dc.identifier.wosWOS:000316034600001en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCEen_US
dc.relation.ispartofFINITE FIELDS AND THEIR APPLICATIONSen_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.titleSquares in a certain sequence related to L-functions of elliptic curvesen_US
dc.typeArticleen_US

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu