2 problems

Weighted fifth-order central limit conjecture. There exists such a weighting function $\bar w$ and a universal constant $C_3>0$ for which

Let $\mathcal{H}$ be a Hardy field, let $f_1,\ldots,f_k,W\in\mathcal{H}$, and define … Property (WP) is that, for every $f\in\operatorname{span}^*(f_1,\ldots,f_k)$ and…