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http://hdl.handle.net/11452/26295
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Bayad, Abdelmejid | - |
dc.date.accessioned | 2022-05-06T07:17:44Z | - |
dc.date.available | 2022-05-06T07:17:44Z | - |
dc.date.issued | 2012-03-01 | - |
dc.identifier.citation | Bayad, A. ve Cangül, İ. N. (2012). "The minimal polynomial of 2cos(pi/q) and Dickson polynomials". Applied Mathematics and Computation, 218(13), 7014-7022. | en_US |
dc.identifier.issn | 0096-3003 | - |
dc.identifier.uri | https://doi.org/10.1016/j.amc.2011.12.044 | - |
dc.identifier.uri | https://www.sciencedirect.com/science/article/pii/S0096300311015189 | - |
dc.identifier.uri | http://hdl.handle.net/11452/26295 | - |
dc.description.abstract | The 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, and in the study of regular polyhedra. There are many partial results about the minimal polynomial of this algebraic number. Here we obtain the general formula and it is Mobius inversion for this minimal polynomial by means of the Dickson polynomials and the Mobius inversion theory. Moreover, we investigate the homogeneous cyclotomic, Chebychev and Dickson polynomials in two variables and we show that our main results in one variable case nicely extend to this situation. In this paper, the deep results concerning these polynomials are proved by elementary arguments. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Elsevier Science | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Mathematics | en_US |
dc.subject | Hecke groups | en_US |
dc.subject | Minimal polynomials | en_US |
dc.subject | Cyclotomic polynomials | en_US |
dc.subject | Dickson polynomials | en_US |
dc.subject | Mobius inversion | en_US |
dc.subject | Computational methods | en_US |
dc.subject | Mathematical techniques | en_US |
dc.subject | Chebychev polynomials | en_US |
dc.subject | Polynomials | en_US |
dc.title | The minimal polynomial of 2cos(pi/q) and Dickson polynomials | en_US |
dc.type | Article | en_US |
dc.identifier.wos | 000300503700003 | tr_TR |
dc.identifier.scopus | 2-s2.0-84856962086 | tr_TR |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi | tr_TR |
dc.contributor.department | Uludaǧ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü. | tr_TR |
dc.relation.bap | 2006/40 | tr_TR |
dc.relation.bap | 2008/31 | tr_TR |
dc.relation.bap | 2008/54 | tr_TR |
dc.contributor.orcid | 0000-0002-0700-5774 | tr_TR |
dc.contributor.orcid | 0000-0002-0700-5774 | tr_TR |
dc.identifier.startpage | 7014 | tr_TR |
dc.identifier.endpage | 7022 | tr_TR |
dc.identifier.volume | 218 | tr_TR |
dc.identifier.issue | 13 | tr_TR |
dc.relation.journal | Applied Mathematics and Computation | en_US |
dc.contributor.buuauthor | Cangül, İsmail Naci | - |
dc.contributor.researcherid | ABA-6206-2020 | tr_TR |
dc.contributor.researcherid | J-3505-2017 | tr_TR |
dc.relation.collaboration | Yurt dışı | tr_TR |
dc.subject.wos | Mathematics, applied | en_US |
dc.indexed.wos | SCIE | en_US |
dc.wos.quartile | Q1 | en_US |
dc.contributor.scopusid | 57189022403 | tr_TR |
dc.subject.scopus | Hecke Groups; Modular Forms; Congruence Subgroups | en_US |
Appears in Collections: | Scopus Web of Science |
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