Abstract. In previous article we have considered attached to elliptic singular moduli k_r, the parameter w_r, in which if one knows its value then can evaluate explicit the elliptic singular moduli and the fifth degree singular moduli k_25r in radicals. In the present article we give modular equations of this parameter w_r and a table of some lower values and use this parameter to solve the Rogers-Ramanujan continued fraction.

Received: January 14, 2013

AMS Subject Classification: 11Y65, 11A55, 35J75, 33E05

Key Words and Phrases: modular equations, singular moduli, continued fractions, Ramanujan, algebraic equations, algebraic numbers, elliptic functions

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