A bijective proof of Loehr-Warrington's formulas for the statistics $\mbox{ctot}_{\frac{q}{p}}$ and $\mbox{midd}_{\frac{q}{p}}$

Mikhail Mazin

Loehr and Warrington introduced partitional statistics $\mbox{ctot}_{\frac{q}{p}}(D)$ and $\mbox{midd}_{\frac{q}{p}}(D)$ and provided formulas for these statistics in terms of the…