2 problems

Let $\mathfrak{S}_n$ be the symmetric group, let $\operatorname{altmaj}(\pi)$ denote the alternating major index of $\pi\in\mathfrak{S}_n$, and let $m\in\mathbb{Z}$ satisfy…

Let $Q_n(t)$ be the descent set polynomial and let $\Phi_k$ denote the $k$th cyclotomic polynomial. For a prime $p$, write $Q_{2p}=Q_{2p}(t)$. Cyclotomic divisibility conjecture. F…