2 problems

Let $11\le p\le 12$. Assume $a\ge b\ge 0$ and $a+b=\frac{p}{2}-3$. Let … and let $\Phi(t)=(t,t^2,t^3,t^4)$ be the moment curve in $\mathbb{R}^4$. Here $n\sim N$ denotes summation o…

Let $N\geq 1$, $0\leq \sigma\leq 2$, and $s\geq 1$, and write $e(t)=e^{2\pi i t}$. Then the small cap decoupling conjecture. There is a constant $C_\varepsilon$ such that … This co…