Arithmetic properties of the 2-color overpartition function ${\overline{p}}_{\ell }(n)$

H. S. Sumanth Bharadwaj, N. Sujatha, S. Chandankumar

We derive general families of Ramanujan-type congruences for the function ${\overline{p}}_{\ell }(n)$, which counts the $2$-color overpartitions of $n$ in which one of the colors appe…