Pekin, AytenCarus, Aydin2024-06-122024-06-1220090972-5555https://hdl.handle.net/20.500.14551/23541In this paper, we revisit the relations between the fundamental units' coefficients of the real quadratic fields K = Q(root D) and convergents of the continued fraction expansions of W-D. Furthermore, we provide a theorem and obtain some new results on the class numbers of K = Q(root D) by using solvability of the equation x(2) - Dy-2 = sigma(2) and the relations mentioned above.eninfo:eu-repo/semantics/closedAccessReal Quadratic FieldFundamental UnitClass NumberContinued Fraction ExpansionArticle1314147N/AWOS:000421326400006