Arithmetic properties of bipartitions with even parts distinct

In this work, we consider various arithmetic properties of the function ped−2(n) that denotes the number of bipartitions of n with even parts distinct. We prove two infinite families of congruences for p−2(n) modulo 3. We also give characterizations of ped−2(n) modulo 2 and 4. Furthermore, for a fixed positive integer k, we show that ped−2(n) is divisible by 2k for almost all n.