4 problems

Higher-power modulus spacing conjecture. The local multiplicity of $S_{k,Q}$ at scale $Q^{-k-1}$ should satisfy

Spacing conjecture for square moduli.

Let $\Sigma_{P}$ be the polynomial large-sieve quantity and let $Q$, $N$, and $\|v\|$ have the meanings used in the paper. Zhao's conjecture. One should have … The paper notes that…

Conjectural improved polynomial large-sieve bound. In the setting of Section 5, one should have