Periodic points of algebraic functions related to a continued fraction of Ramanujan

A continued fraction nu(tau) of Ramanujan is evaluated at certain arguments in the field K = Q(v-d), with -d 1 (mod 8), in which the ideal (2) = (sic)(2) (sic)(2)' is a product of two prime ideals. These values of nu(tau) are shown to generate the inertia field of (sic)(2)or (sic)(2)' in an extended ring class field over the field K. The conjugates over Q of these same values, together with 0, -1 +/-root 2, are shown to form the exact set of periodic points of a fixed algebraic function F(sic)(x), independent of d. These are analogues of similar results for the Rogers-Ramanujan continued fraction.