2 problems

Finite-type extension conjecture. The same bound holds for $r>3$. This would extend the stated sharp endpoint estimate beyond types one, two, and three; the source gives no resolut…

Let $E$ be a subset of $\mathbb{F}_q^2$, and let $S_E$ denote the set of scales determined by pairs of points of $E$, with $L^2(S_E)$ its second moment. Near-three-halves threshold…