Publication:
The minimal polynomials of 2cos(π/2k) over the rationals

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dc.contributor.authorİkikardeş, Nazlı Y.
dc.contributor.authorSimos, T. E.
dc.contributor.buuauthorDemirci, Musa
dc.contributor.buuauthorÖzgür, Birsen
dc.contributor.buuauthorCangül, İsmail Naci
dc.contributor.departmentFen Edebiyat Fakültesi
dc.contributor.departmentMatematik Ana Bilim Dalı
dc.contributor.orcid0000-0002-0700-5774
dc.contributor.orcid0000-0002-0700-5774
dc.contributor.researcheridABA-6206-2020
dc.contributor.researcheridABI-4127-2020
dc.contributor.researcheridJ-3505-2017
dc.contributor.scopusid23566581100
dc.contributor.scopusid54403501400
dc.contributor.scopusid57189022403
dc.date.accessioned2022-06-21T07:06:22Z
dc.date.available2022-06-21T07:06:22Z
dc.date.issued2011
dc.descriptionBu çalışma, 19-25 Eylül 2011 tarihleri arasında Halkidiki[Yunanistan]’da düzenlenen International Conference on Numerical Analysis and Applied Mathematics (ICNAAM)’da bildiri olarak sunulmuştur.
dc.description.abstractThe number lambda(q) = 2cos pi/q, q is an element of N, q >= 3, appears in the study of Hecke groups which are Fuchsian groups of the first kind, and in the study of regular polyhedra. Here we obtained the minimal polynomial of this number by means of the better known Chebycheff polynomials and the set of roots on the extension Q(lambda(q)). We follow some kind of inductive method on the number q. The minimal polynomial is obtained for even q.
dc.description.sponsorshipEuropean Soc Computat Methods Sci & Engn (ESCMSE)
dc.description.sponsorshipR M Santilli Fdn
dc.description.sponsorshipACC I S
dc.identifier.citationDemirci, M. vd. (2011). "The minimal polynomials of 2cos(π/2k) over the rationals". ed. T. E. Simos. AIP Conference Proceedings, Numerical Analysis and Applied Mathematics Icnaam 2011: International Conference on Numerical Analysis and Applied Mathematics, 1389, 325-328.
dc.identifier.endpage328
dc.identifier.issn0094-243X
dc.identifier.scopus2-s2.0-81855203308
dc.identifier.startpage325
dc.identifier.urihttps://doi.org/10.1063/1.3636731
dc.identifier.urihttps://aip.scitation.org/doi/abs/10.1063/1.3636731
dc.identifier.urihttp://hdl.handle.net/11452/27329
dc.identifier.volume1389
dc.identifier.wos000302239800080
dc.indexed.wosCPCI
dc.language.isoen
dc.publisherAmer Inst Pyhsics
dc.relation.bap2008/54
dc.relation.bap2008/31
dc.relation.bap2006/40
dc.relation.collaborationYurt içi
dc.relation.journalAIP Conference Proceedings, Numerical Analysis and Applied Mathematics Icnaam 2011: International Conference on Numerical Analysis and Applied Mathematics
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectMathematics
dc.subjectHecke groups
dc.subjectRoots of unity
dc.subjectChebycheff polynomials
dc.subjectMinimal polynomial
dc.subject.scopusHecke Groups; Modular Forms; Congruence Subgroups
dc.subject.wosMathematics, applied
dc.titleThe minimal polynomials of 2cos(π/2k) over the rationals
dc.typeProceedings Paper
dspace.entity.typePublication
local.contributor.departmentFen Edebiyat Fakültesi/Matematik Ana Bilim Dalı
local.indexed.atScopus
local.indexed.atWOS

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