Geodesic
Equidistributions of Mahonian statistics over pattern avoiding permutations
Nima Amini1
1Royal Institute of Technology, Stockholm, Sweden
The electronic journal of combinatorics, Tome 25 (2018) no. 1
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A Mahonian $d$-function is a Mahonian statistic that can be expressed as a linear combination of vincular pattern statistics of length at most $d$. Babson and Steingrímsson classified all Mahonian 3-functions up to trivial bijections and identified many of them with well-known Mahonian statistics in the literature. We prove a host of Mahonian 3-function equidistributions over pattern avoiding sets of permutations. Tools used include block decomposition, Dyck paths and generating functions.
DOI : 10.37236/7137
Classification : 05A05, 05A15, 05A19
Mots-clés : Mahonian statistic, equidistribution, st-Wilf equivalence, pattern avoidance, Dyck path statistic, polyomino

Nima Amini  1

1 Royal Institute of Technology, Stockholm, Sweden 
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Nima Amini. Equidistributions of Mahonian statistics over pattern avoiding permutations. The electronic journal of combinatorics, Tome 25 (2018) no. 1. doi: 10.37236/7137

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