Explicit Representation of Fundamental Units of Some Real Quadratic Fields, II Original Research Article

In the preceding paper, (K. Tomita,Proc. Japan Acad. Ser. A Sci. Math.71(1995), 41–43), for all real quadratic fields image(image) such that the periodkdof the continued fraction expansion ofωd=(1+image)/2 is equal to 3, we describedTd,Udexplicitly in the fundamental unitvar epsilond=(Td+Ud image)/2 (>1) of image(image) andditself by using two parameters appearing in the continued fraction expansion ofωd; In this paper, we provide analogous results for all real quadratic fields image(image) with period 4 and 5 by using at most four parameters.