On $\ell -$regular and $2-$color partition triples modulo powers of $3$

B. Hemanthkumar, D. S. Gireesh

Let $T_{\ell }(n)$ denote the number of $\ell -$regular partition triples of $n$ and let $p_{\ell ,3}(n)$ enumerates the number of 2--color partition triples of $n$ where one of the co…