Pankaj Gogoi

Difference of the sum of diverse parts of some colored partitions

Recently, Andrews and Ghosh Dastidar (Ramanujan J. 69, Art. No. 26, 2026) studied two interesting partition statistics, namely, SOME(n) and DSOME(n), where SOME(n) is the sum of all the odd parts in the partitions of n minus the sum of all the even parts, and DSOME(n) is the sum...