Generalized cubic partitions

A cubic partition consists of partition pairs (λ,μ) such that λ+μ=n where μ involves only even integers but no restriction is placed on λ. This paper initiates the notion of generalized cubic partitions and will prove a number of new congruences akin to the classical Ramanujan-type. The tools emphasize three methods of proofs. The paper concludes with a conjecture on the rarity of the aforementioned Ramanujan-type congruences.