Some properties of the minimal polynomials of 2cos(pi/q) for odd q
Date
2011
Authors
Simos, T. E.
Journal Title
Journal ISSN
Volume Title
Publisher
Amer Inst Pyhsics
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 this number by means of the better known Chebycheff polynomials for odd q and give some of their properties.
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.
Keywords
Mathematics, Hecke groups, Roots of unity, Minimal polynomials, Chebycheff polynomials
Citation
Özgür, B. vd. (2011). "Some properties of the minimal polynomials of 2cos(pi/q) for odd q". ed. T. E. Simos. AIP Conference Proceedings, Numerical Analysis and Applied Mathematics Icnaam 2011: International Conference on Numerical Analysis and Applied Mathematics, 1389, 353-356.