| Summary: | Recently, Chan and Wang [2] studied the coefficients of qn in the series of expansion of (∏n=1∞(1 - qn))k, | q | < 1 when k is a rational number which is denoted by pk(n). In particular, they proved many congruences satisfied by pk(n) and conjectured modulo 192 congruences for pk(n). Motivated by their work, we studied some modulo l2 congruences for pk(n) when l is a prime. We proved congruences for p-1/b(n) when (b, l) = (3,19), (4, 17), (5, 31), (6,17) and (7, 29).f 2II We note that a conjecture in [2] is a special case when (b, l) = (3, 19)
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