2 problems

Let $n$ be an integer representable as a sum of two squares, and consider lattice points on the circle of radius $\sqrt n$. For an arc of length $n^{\delta}$, the source states tha…

Asymptotic equivalence conjecture. The sequences $n_k'$ and $n_k$ are equivalent for the vast majority of $k$; if this cannot be shown, they should at least be asymptotic.