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Abstract 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).
Shruthi et al. (Wed,) studied this question.