3 problems

Let $N$ be a natural number greater than $2$, let $d$ be a natural number strictly less than $N/2-1$, and let $n\geq N$ be another natural number. For the simplex $S^N(n)$ consider…

Maximum-part asymptotic conjecture. Up to small periodic fluctuations,

Let $N\geq 1$, let $\mathbb{N}$ denote the nonnegative integers, and let $\mathbf{1}=(1,\ldots,1)\in\mathbb{N}^N$. For $\mathbf{s}=(s_1,\ldots,s_N)\in\mathbb{N}^N$, define … Let…