Congruences modulo powers of 2 and 3 for overpartition $k$-tuples

G. Kavya Keerthana, S. Ananya, Ranganatha D

Let ${\overline{p}}_k(n)$ denote the number of overpartition $k$-tuples of $n$. In 2023, Saikia \cite{saikia} conjectured the following congruences: \begin{align*} \overline{p}_{q}…