Let k be an imaginary quadratic fleld, H the complex upper half plane, and let ? 2 k\H, q = exp(…i?). And let n;t be positive integers with 1 • tni1. Then q n 12 i t 2 + t2 2n Q 1 m=1 (1iq nmit)(1iqnmi (nit)) is an algebraic number (10). As a generalization of this result, we flnd several inflnite series and products giving algebraic numbers using Ramanujan's 1ˆ1 summation. These are also related to Rogers-Ramanujan continued fractions.