On 3- and 9-regular overpartitions modulo powers of 3
H. S. Sumanth Bharadwaj, B. Hemanthkumar, M. S. Mahadeva Naika · Colloquium Mathematicum · 2018
Let $\overline { A}_3(n)$ and $\overline { A}_9(n)$ denote the number of 3- and 9-regular overpartitions of $n$. For each $\alpha \gt 0$, we obtain the generating functions for $\overline { A}_{3}(3^{2\alpha }n )$, $\overline { A}_{3}(3^{2\alpha -1}n )$ a