Arithmetic properties of l-regular partitions and l-regular bipartitions

For any positive integer l , let bₗ(n) b l ( n ) and Bₗ(n) B l ( n ) represent the number of l -regular partitions and l -regular bipartitions respectively. By employing q -identities, we prove new congruences for b₁₁(n) b 11 ( n ) , b₁₉(n) b 19 ( n ) , b₅₅(n) b 55 ( n ) , B₁₁(n) B 11 ( n ) and B₁₃(n) B 13 ( n ) .