İkikardeş, Nazlı Y.Simos, T. E.2022-06-212022-06-212011Demirci, 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, 325-328.0094-243Xhttps://doi.org/10.1063/1.3636731https://aip.scitation.org/doi/abs/10.1063/1.3636731http://hdl.handle.net/11452/27329Bu çalışma, 19-25 Eylül 2011 tarihleri arasında Halkidiki[Yunanistan]’da düzenlenen International Conference on Numerical Analysis and Applied Mathematics (ICNAAM)’da bildiri olarak sunulmuştur.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 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.eninfo:eu-repo/semantics/closedAccessMathematicsHecke groupsRoots of unityChebycheff polynomialsMinimal polynomialThe minimal polynomials of 2cos(π/2k) over the rationalsProceedings Paper0003022398000802-s2.0-818552033083253281389Mathematics, appliedHecke Groups; Modular Forms; Congruence Subgroups