The Double Eulerian Polynomial and Inversion Tables

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.

4 pages

References in corpus (1)

• Actions on permutations and unimodality of descent polynomials

Cited by in corpus (1)

• A sextuple equidistribution arising in Pattern Avoidance