Postprint version. Published in Journal of Combinatorial Theory, Series A, Volume 79, Issue 2, August 1, 1997, pages 255-267.
The definitive version is available at https://doi.org/10.1006/jcta.1997.2783.
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 ofqjin the expansion of ∏ki=1 (1+q+q2+…+qmi). In the permutation case, the statistic coincides with one studied by Han that specializes many known Mahonian statistics.
1997 Academic Press, Inc.