Arithmetic properties of ℓ-regular partitions

For a given prime p, by studying p  -dissection identities for Ramanujanʼs theta functions ψ(q)ψ(q) and f(−q)f(−q), we derive infinite families of congruences modulo 2 for some ℓ  -regular partition functions, where ℓ=2,4,5,8,13,16ℓ=2,4,5,8,13,16.