Some New Congruences Modulo Powers of 2 For $(j,k)$-Regular Overpartition

Riyajur Rahman, Nipen Saikia

Let ${\overline{p}}_{j,k}(n)$ denotes the number of $(j,k)$-regular overpartitions of a positive integer $n$ such that none of the parts is congruent to $j$ modulo $k$. Naika et. al.…