On the Diophantine equation ((c+1)m2+1)x + (cm2-1)y = (am)z

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dc.contributor.authorMiyazaki, Takafumi
dc.contributor.buuauthorKızıldere, Elif
dc.contributor.buuauthorSoydan, Gökhan
dc.contributor.departmentUludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.tr_TR
dc.contributor.orcid0000-0002-6321-4132tr_TR
dc.contributor.orcid0000-0002-7651-7001tr_TR
dc.contributor.researcheridM-9459-2017tr_TR
dc.contributor.scopusid57204173004tr_TR
dc.contributor.scopusid23566953200tr_TR
dc.date.accessioned2024-01-09T07:51:50Z
dc.date.available2024-01-09T07:51:50Z
dc.date.issued2018-08-10
dc.description.abstractSuppose that c, in, and a are positive integers with a 11, 13 (mod 24) . In this work, we prove that when 2c + 1 = a(2), the Diophantine equation in the title has only solution (x, y, z) = (1,1,2) where m +/- 1 (mod a) and m > a(2) in positive integers. The main tools of the proofs are elementary methods and Baker's theory.en_US
dc.identifier.citationKızıldere, E. vd. (2018). ''On the Diophantine equation ((c+1)m2+1)x + (cm2-1)y = (am)z''. Turkish Journal of Mathematics, 42(5), 2690-2698.en_US
dc.identifier.endpage2698tr_TR
dc.identifier.issn1300-0098
dc.identifier.issn1303-6149
dc.identifier.issue5tr_TR
dc.identifier.scopus2-s2.0-85054785989tr_TR
dc.identifier.startpage2690tr_TR
dc.identifier.urihttps://doi.org/10.3906/mat-1803-14
dc.identifier.urihttps://journals.tubitak.gov.tr/math/vol42/iss5/45/
dc.identifier.urihttps://hdl.handle.net/11452/38884
dc.identifier.volume42tr_TR
dc.identifier.wos000447946800046
dc.indexed.pubmedPubMeden_US
dc.indexed.wosSCIE
dc.language.isoenen_US
dc.publisherBilimsel ve Teknolojik Araştırma Kurumutr_TR
dc.relation.collaborationYurt dışıtr_TR
dc.relation.journalTurkish Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergitr_TR
dc.relation.tubitak117F287tr_TR
dc.relation.tubitak16K17557tr_TR
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectMathematicsen_US
dc.subjectExponential diophantine equationen_US
dc.subjectJacobi symbolen_US
dc.subjectLower bound for linear forms in logarithmsen_US
dc.subjectLinear-formsen_US
dc.subject2 logarithmsen_US
dc.subjectConjectureen_US
dc.subject.scopusDiophantine Equation; Number; Linear Forms in Logarithmsen_US
dc.subject.wosMathematicsen_US
dc.titleOn the Diophantine equation ((c+1)m2+1)x + (cm2-1)y = (am)zen_US
dc.typeArticleen_US
dc.wos.quartileQ3 (Mathematics)en_US

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