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Relations involving the Rogers-Ramanujan continued fractions $R(q),$ $R(q^3),$ and $R(q^4)$ are used to find new generating functions and congruencesmodulo 5 and 25 for 3-core, 4-core, 4-regular, and colored partition functions.

Results on some partition functions arising from certain relations involving the Rogers-Ramanujan continued fractions