In 2002, Tomita and Yamamuro defined several theorems for fundamental unit of certain real quadratic number fields. Although, there are infinitely many values of d having all 1s in the symmetric part of continued fraction ...

The aim of this paper is to determine and investigate the continued fractions expansions of wd for the real quadratic number fields Q(root d) for which the period has constant elements that are completely equal to 2 (except ...