2 problems

Let ${\cal OP}_n^k$ be the set of ordered $k$-partitions of $[n]$, and let $\mathop{\rm bmaj}$ and $\mathop{\rm binv}$ be the block-major index and block-inversion statistics. Let…

Let $g\geq 1$ and $\ell\geq 1$, and let $g\mathsf{exc}_\ell$ and $g\mathsf{den}_\ell$ denote the $g$-gap $\ell$-level excedance number and $g$-gap $\ell$-level Denert statistic, re…