Arithmetic properties of overcubic partition pairs (Q740673)

Summary: Let \(\overline{b}(n)\) denote the number of~overcubic partition pairs of \(n\). In this paper, we establish two Ramanujan type congruences and several infinite families of congruences modulo 3 satisfied by \(\overline{b}(n)\). For modulus 5, we obtain one Ramanujan type congruence and two congruence relations for \(\overline{b}(n)\), from which some strange congruences are derived.