Calculation of the minimal polynomial of 2cos(π/n) over Q with Maple
Date
2012
Authors
Simos, T. E.
Psihoyios, G.
Tsitouras, C.
Anastassi, Z.
Journal Title
Journal ISSN
Volume Title
Publisher
American Inst Physics
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. Here we obtain the minimal polynomial of these numbers over the field of rationals by means of the better known Chebycheff polynomials and the Maple language.
Description
Bu çalışma, 19-25 Mayıs 2012 tarihleri arasında Kos[Yunanistan]’da düzenlenen International Conference of Numerical Analysis and Applied Mathematics (ICNAAM)’da bildiri olarak sunulmuştur.
Keywords
Mathematics, Physics
Citation
Yurttaş, A. vd. (2012). "Calculation of the minimal polynomial of 2cos(π/n) over Q with Maple". ed. T. E. Simos vd. AIP Conference Proceedings, Numerical Analysis and Applied Mathematics (ICNAAM 2012), 1479, 371-374.