On the descent polynomial of signed multipermutations
On the descent polynomial of signed multipermutations
Motivated by a conjecture of Savage and Visontai about the equidistribution of the descent statistic on signed permutations of the multiset $\{1,1,2,2,\ldots ,n,n\}$ and the ascent statistic on $(1,4,3,8,\ldots ,2n-1,4n)$-inversion sequences, we investigate the descent polynomial of the signed permutations of a general multiset (multipermutations). We obtain a factorial generating …