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Calculation of the Minimal Polynomial of 2cos(pi/n) over Q with Maple
Conference proceeding   Peer reviewed

Calculation of the Minimal Polynomial of 2cos(pi/n) over Q with Maple

Aysun Yurttas, Birsen Ozgur and Ismail Naci Cangul
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B, Vol.1479(1), pp.371-374
AIP Conference Proceedings
01/01/2012
DOI: https://doi.org/10.1063/1.4756141

Abstract

Mathematics Mathematics, Applied Physical Sciences Physics Physics, Applied 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 these numbers over the field of rationals by means of the better known Chebycheff polynomials and the Maple language.

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