Proof of a Conjecture on Overcolored Partition Restricted by Parity of the Parts

Imdadul Hussain, Suparno Ghoshal, Arijit Jana

In a recent paper, Thejitha and Fathima introduced the overcolored partition function ${\bar{a}}_{r,s}(n)$, which enumerates overpartitions in which even parts may appear in one of $…