New congruences modulo small powers of 2 for overpartitions into odd parts

B. Hemanthkumar, S. Chandankumar

In this article, we establish several infinite families of Ramanujan-type congruences modulo 16, 32 and 64 for $\overline{p}_o(n),$ the number of overpartitions of $n$ in which only odd parts are used.