The signed descent set polynomial revisited

On the powers of the descent set statistic

“…Some of the results in this paper are reminiscent of results in the papers [1,2,3], where there are results which depend on the binary expansion of the parameters. However, as the reader can see from Tables 1 and 2, where we present computational results for the numbers of factors of the primes 2 and 3 in A r n , a lot of work remains in order to understand these numbers.…”