A GENERALIZED MAHONIAN STATISTIC ON ABSORPTION RING MAPPINGS

Authors
RAWLINGS D
Citation
D. Rawlings, A GENERALIZED MAHONIAN STATISTIC ON ABSORPTION RING MAPPINGS, J COMB TH A, 79(2), 1997, pp. 255-267
Citations number
24
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
JOURNAL OF COMBINATORIAL THEORY SERIES A
ISSN journal
00973165 → ACNP
Volume
79
Issue
2
Year of publication
1997
Pages
255 - 267
Database
ISI
SICI code
0097-3165(1997)79:2<255:AGMSOA>2.0.ZU;2-5
Abstract
Based on a coin-tossing scheme, a generalized Mahonian statistic is de fined on absorption ring mappings and applied in obtaining combinatori al 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 st atistic coincides with one studied by Kan that specializes many known Mahonian statistics. (C) 1997 Academic Press.