Publication:
The minimal polynomial of 2cos(pi/q) and Dickson polynomials

dc.contributor.authorBayad, Abdelmejid
dc.contributor.buuauthorCangül, İsmail Naci
dc.contributor.departmentUludaǧ Üniversitesi
dc.contributor.departmentFen Edebiyat Fakültesi
dc.contributor.departmentMatematik Bölümü
dc.contributor.orcid0000-0002-0700-5774
dc.contributor.orcid0000-0002-0700-5774
dc.contributor.researcheridABA-6206-2020
dc.contributor.researcheridJ-3505-2017
dc.contributor.scopusid57189022403
dc.date.accessioned2022-05-06T07:17:44Z
dc.date.available2022-05-06T07:17:44Z
dc.date.issued2012-03-01
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, 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.
dc.identifier.citationBayad, A. ve Cangül, İ. N. (2012). "The minimal polynomial of 2cos(pi/q) and Dickson polynomials". Applied Mathematics and Computation, 218(13), 7014-7022.
dc.identifier.endpage7022
dc.identifier.issn0096-3003
dc.identifier.issue13
dc.identifier.scopus2-s2.0-84856962086
dc.identifier.startpage7014
dc.identifier.urihttps://doi.org/10.1016/j.amc.2011.12.044
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0096300311015189
dc.identifier.urihttp://hdl.handle.net/11452/26295
dc.identifier.volume218
dc.identifier.wos000300503700003
dc.indexed.wosSCIE
dc.language.isoen
dc.publisherElsevier Science
dc.relation.bap2006/40
dc.relation.bap2008/31
dc.relation.bap2008/54
dc.relation.collaborationYurt dışı
dc.relation.journalApplied Mathematics and Computation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectMathematics
dc.subjectHecke groups
dc.subjectMinimal polynomials
dc.subjectCyclotomic polynomials
dc.subjectDickson polynomials
dc.subjectMobius inversion
dc.subjectComputational methods
dc.subjectMathematical techniques
dc.subjectChebychev polynomials
dc.subjectPolynomials
dc.subject.scopusHecke Groups; Modular Forms; Congruence Subgroups
dc.subject.wosMathematics, applied
dc.titleThe minimal polynomial of 2cos(pi/q) and Dickson polynomials
dc.typeArticle
dc.wos.quartileQ1
dspace.entity.typePublication
local.contributor.departmentUludaǧ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü
local.indexed.atScopus
local.indexed.atWOS

Files

License bundle

Now showing 1 - 1 of 1
Placeholder
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description: