3 problems

For a positive integer $n$, let a partition into distinct parts be counted according to whether it has more odd parts than even parts or more even parts than odd parts. Kim–Kim–Lov…

For $n\ge14$, let $d_{1,2;2}^{[1]}(n)$ denote the number of partitions of $n$ into distinct parts with the relevant odd/even parity statistic indexed by $(1,2;2)$, and let…

Let $q_o(n)$ and $q_e(n)$ denote the two partition-counting functions defined earlier in the paper for the relevant classes of non-unitary partitions separated by the parity of the…