High Quality Content by WIKIPEDIA articles! The Rogers–Ramanujan continued fraction is a continued fraction discovered by Rogers (1894) and later studied by Srinivasa Ramanujan, closely related to the Rogers-Ramanujan identities, that can be evaluated explicitly for special values of its argument.If q = e2?i?, then q?1/60G(q) and q11/60H(q) and therefore q1/5H(q)/G(q)) are modular functions of ?. Since they have integral coefficients, the theory of complex multiplication implies that their values for ? an imaginary quadratic irrational are algebraic numbers that can be evaluated explicitly. In particular Ramanujan's continued fraction can be evaluated for these values of ?.

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