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

Yurttas A., Ozgur B., CANGÜL İ. N.

International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), Kos, Greece, 19 - 25 September 2012, vol.1479, pp.371-374 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1479
  • Doi Number: 10.1063/1.4756141
  • City: Kos
  • Country: Greece
  • Page Numbers: pp.371-374
  • Bursa Uludag University Affiliated: Yes

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.