Some properties of the minimal polynomials of 2cos(\pi/q) for odd q

Özgür B., DEMİRCİ M., YURTTAŞ A., CANGÜL İ. N.

FRONTIERS OF FUNDAMENTAL AND COMPUTATIONAL PHYSICS, vol.1389, pp.353-356, 2011 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 1389
  • Publication Date: 2011
  • Doi Number: 10.1063/1.3636737
  • Journal Name: FRONTIERS OF FUNDAMENTAL AND COMPUTATIONAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Aerospace Database, Artic & Antarctic Regions, Communication Abstracts, INSPEC, Metadex, Public Affairs Index, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.353-356
  • 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 this number by means of the better known Chebycheff polynomials for odd q and give some of their properties.