3 problems

Hollenbeck–Verbitsky conjecture. The optimal constant satisfies

For each $n$, let $K_n^*$ denote the associated best constant of the circle-based $n$-distance considered in the paper. Asymptotic constant conjecture. … The paper proves the lower…

Let $d$ and $p$ be as in the preceding symmetry results, and let $\theta$ be the interpolation parameter. Denote by $\Lambda_{\rm s}(\theta,p,d)$ the symmetry threshold and by…