TY - JOUR
TI - Explicit Form of Fundamental Units of Certain Real Quadratic Fields
PY - 2014/01/29
Y2 - 2024/06/22
JF - European Journal of Pure and Applied Mathematics
JA - Eur. J. Pure Appl. Math.
VL - 7
IS - 1
LA - en
UR - https://www.ejpam.com/index.php/ejpam/article/view/2029
SP - 55-64
AB - In this paper, for all real quadratic fields K = Q(pd) such that d is a positive square free integer congruent to 2 or 3 modulo 4 and the period kd of the continued fraction expansion of the quadratic irrational number !d =pd is equal to 7, we describe Td , Ud explicitly in the fundamental unit "d = (Td+Udpd2 )(> 1) of Q(pd) and d itself by using five parameters appearing in the continued fraction expansion of !d .
ER -