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, cilt.1389, ss.353-356, 2011 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 1389
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1063/1.3636737
  • Dergi Adı: FRONTIERS OF FUNDAMENTAL AND COMPUTATIONAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Aerospace Database, Artic & Antarctic Regions, Communication Abstracts, INSPEC, Metadex, Public Affairs Index, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.353-356
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

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.