The Double Eulerian Polynomial and Inversion Tables
Combinatorics
2014-01-23 v1
Abstract
We show that the pair (des, ides) of statistics on the set of permu- tations has the same distribution as the pair (asc, row) of statistics on the set of inversion tables, proving a conjecture of Visontai. The common generating function of these pairs is the double Eulerian polynomial.
Cite
@article{arxiv.1401.5653,
title = {The Double Eulerian Polynomial and Inversion Tables},
author = {Erik Aas},
journal= {arXiv preprint arXiv:1401.5653},
year = {2014}
}
Comments
4 pages