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Some Properties of the Minimal Polynomials of 2cos(pi/q) for odd q
Conference proceeding   Peer reviewed

Some Properties of the Minimal Polynomials of 2cos(pi/q) for odd q

Birsen Ozgur, Musa Demirci, Aysun Yurttas and I. Naci Cangul
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C, Vol.1389, pp.353-356
AIP Conference Proceedings
01/01/2011
DOI: https://doi.org/10.1063/1.3636737

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.

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