Based on a coin-tossing scheme, a generalized Mahonian statistic is defined on absorption ring mappings and applied in obtaining combinatorial interpretations of the coefficient of q(j) in the expansion of Pi(i = 1)(k) (1 + q + q(2) + ... + q(mi)). In the permutation case, the statistic coincides with one studied by Kan that specializes many known Mahonian statistics. (C) 1997 Academic Press.
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