We introduce and study three new statistics on the even-signed permutation group D_n. We show that two of these are Mahonian, i.e., are equidistributed with length, and that a pair of them gives a generalization of Carlitz’s identity on the Euler-Mahonian distribution of the descent number and major index over S_n.
Major and descent statistics for the even-signed permutation group / Biagioli R. - In: ADVANCES IN APPLIED MATHEMATICS. - ISSN 0196-8858. - STAMPA. - 31:(2003), pp. 163-179. [10.1016/S0196-8858(02)00561-4]
Major and descent statistics for the even-signed permutation group
Biagioli R
2003
Abstract
We introduce and study three new statistics on the even-signed permutation group D_n. We show that two of these are Mahonian, i.e., are equidistributed with length, and that a pair of them gives a generalization of Carlitz’s identity on the Euler-Mahonian distribution of the descent number and major index over S_n.File in questo prodotto:
Eventuali allegati, non sono esposti
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
