2-Rowed Plane Overpartitions Modulo 8 and 16

In a recent study, special type of plane overpartitions known as k-rowed has been studied. The function denotes the number n with rows at most k. this paper, we prove two identities modulo 8 and 16 for rows. We completely specify 8. Our technique is based on expanding each term infinite product generating modulus in which proofs key results are dominated by an intriguing relationship between sum divisors, reveals considerable link among these functions powers 2.