International Journal of Number Theory · 2011 · 25 citations · 21 references
Natural SciencesMathematicsDiscrete MathematicsCombinatorial Number TheoryContinued FractionsPartition CongruencesPartition Generating Functions
We present some interesting Ramanujan-type congruences for some partition functions arising from Ramanujan's cubic continued fraction. One of our results states that if p 3 (n) is defined by [Formula: see text], then p 3 (9n + 8) ≡ 0 (mod 3 4 ).
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