4 problems

Ekhad–Zeilberger's general asymptotic conjecture. The displayed asymptotic formula holds for the sequence $C_d(n)$.

Ekhad–Zeilberger's conjecture. The displayed asymptotic formula holds for an appropriate constant $\alpha_4$.

Let $G$ be a subgroup of $\mathrm{SO}(3)$, let $\mathbb{T}$ be a tensor space with its $G$-representation, and let $\mathrm{C}\in\left[\mathbb{T}\otimes^S\mathbb{T}\right]^G$. Writ…

Let ${\cal U}\in\mathbb{T}(\mathbb{C}^n,p)$ and ${\cal V}\in\mathbb{T}(\mathbb{C}^n,q)$ with $p,q\geq 2$. Their composition ${\cal U}\circ{\cal V}$ is the tensor inducing the compo…