A further look at the sum of the parts with the same parity in the partitions of \(n\) (Q6187339)

In this article, the authors introduce new interpretations for sums of parts with the same parity, and the proofs of these results relies on generating functions, and they investigate the sum of the parts with the same parity in all the partitions of \(n\). All the proofs are supported through strong mathematical arguments. The results presented in this article are useful for further research works.