Generalized cubic partitions

A cubic partition consists of partition pairs (, ) such that +=n where involves only even integers but no restriction is placed on. 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.