4 problems

Product square-integrability conjecture.

Let $\mathrm{Tam}(n)$ be the Tamari lattice of size $n$, and let $S\leq T$ be an interval in it. Write $n(S)$ and $n(T)$ for the sizes of $S$ and $T$, and let…

Optimal recursive relation conjecture. There is no $(2-\epsilon)$-copy recursive formula.

Krattenthaler–Panova conjecture. The number of tableaux is