Title of article :
On the real quadratic fields with certain continued fraction expansions and fundamental units
Author/Authors :
Ozer, Ozen Department of Mathematics - Faculty of Science and Arts - Kirklareli University, Turkey , Khammas, Ahmed Department of Mathematics - Al-Qura University - Makkah, Saudi Arabia
Abstract :
The purpose of this paper is to investigate the real quadratic number fields which contain the
specic form of the continued fractions expansions of integral basis element where d = 2; 3(mod4)
is a square free positive integer. Besides, the present paper deals with determining the fundamental
unit
Keywords :
Quadratic Field , Fundamental Unit , Continued Fraction Expansion , Class Number
Journal title :
Astroparticle Physics
