An Algorithm for Explicit Form of Fundamental Units of Certain Real Quadratic Fields and Period Eight


Ozer O., Pekin A.

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, cilt.8, sa.3, ss.343-356, 2015 (ESCI İndekslerine Giren Dergi) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Konu: 3
  • Basım Tarihi: 2015
  • Dergi Adı: EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS
  • Sayfa Sayıları: ss.343-356

Özet

In this paper, we have given an explicit formulation to determine the form of the fundamental units of certain real quadratic number fields. This new algorithm for such quadratic fields is first in the literature and it gives us a more practical way to calculate the fundamental unit. Where, the period in the continued fraction expansion of the quadratic irrational number of the certain real quadratic fields is equal to 8.