3 problems

Let $\eta\in\mathcal{P}$ satisfy $\eta_1\leq n-1$. For $s,u\in\{0,\dots,N\}$ and $r,v\in\{0,\dots,n-1\}$, set $\Lambda=(N-s)\Lambda_r+s\Lambda_{r+1}$ and…

Let $\ell\in\mathbb{Z}_{+}$, $k\in Q\cap P_{+}$, and $\eta\in\mathcal{P}$ satisfy $\eta_1\leq n-1$ and $|\eta|\equiv\ell\pmod n$. Let $\Lambda\in P_{+}^{N}$ satisfy…

Finite Andrews–Gordon Bailey hierarchy conjecture.