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

İkikardeş, Nazlı Y.; Simos, T. E.

Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/27329

Title:	The minimal polynomials of 2cos(π/2k) over the rationals
Authors:	İkikardeş, Nazlı Y. Simos, T. E. Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Anabilim Dalı. 0000-0002-0700-5774 0000-0002-0700-5774 Demirci, Musa Özgür, Birsen Cangül, İsmail Naci ABA-6206-2020 ABI-4127-2020 J-3505-2017 23566581100 54403501400 57189022403
Keywords:	Mathematics Hecke groups Roots of unity Chebycheff polynomials Minimal polynomial
Issue Date:	2011
Publisher:	Amer Inst Pyhsics
Citation:	Demirci, 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.
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 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.
Description:	Bu çalışma, 19-25 Eylül 2011 tarihleri arasında Halkidiki[Yunanistan]’da düzenlenen International Conference on Numerical Analysis and Applied Mathematics (ICNAAM)’da bildiri olarak sunulmuştur.
URI:	https://doi.org/10.1063/1.3636731 https://aip.scitation.org/doi/abs/10.1063/1.3636731 http://hdl.handle.net/11452/27329
ISSN:	0094-243X
Appears in Collections:	Scopus Web of Science

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