Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/25547
Title: Deterrmining the minimal polynomial of cos(2π/n) over Q with Maple
Authors: Simos, T. E.
Psihoyios, G.
Tsitouras, C.
Anastassi, Z.
Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.
0000-0002-0700-5774
0000-0002-0700-5774
Özgür, Birsen
Yurttaş, Aysun
Cangül, İsmail Naci
AAG-8470-2021
J-3505-2017
ABA-6206-2020
ABI-4127-2020
54403501400
37090056000
57189022403
Keywords: Mathematics
Physics
Issue Date: 2012
Publisher: Amer Inst Physics
Citation: Özgür, B. vd. (2012). "Deterrmining the minimal polynomial of cos(2π/n) over Q with Maple". ed. T. E. Simos vd. AIP Conference Proceedings, Numerical Analysis and Applied Mathematics (ICNAAM 2012), 1479(1), 368-370.
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 results about the minimal polynomial of this algebraic number and in some of these methods, the minimal polynomials of several algebraic numbers are used. Here we obtain the minimal polynomial of one of those numbers, cos(2 pi/n), over the field of rationals by means of the better known Chebycheff polynomials for odd q and give some of their properties. We calculated this minimal polynomial for n is an element of N by using the Maple language and classifying the numbers n is an element of N into different classes.
Description: Bu çalışma, 19-25 Eylül 2012 tarihleri arasında Kos[Yunanistan]’da düzenlenen International Conference of Numerical Analysis and Applied Mathematics (ICNAAM)’da bildiri olarak sunulmuştur.
URI: https://doi.org/10.1063/1.4756140
https://aip.scitation.org/doi/abs/10.1063/1.4756140
http://hdl.handle.net/11452/25547
ISBN: 978-0-7354-1091-6
ISSN: 0094-243X
Appears in Collections:Scopus
Web of Science

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