4 problems

Let … be a polynomial potential on the unit circle, and suppose that minimizing over the stated class of equally distributed measures reduces to choosing a minimal sub-sum of its c…

Brilleslyper and Schaubroeck's conjecture. The number of roots of $x^n+x^m-1$ in the interior of the unit circle is

Let $Q(z)=1+z^n$, where $n$ is a positive integer, and let $\|\cdot\|_s$ denote the corresponding quasi-norm on the unit circle. Baernstein's conjecture. For every…

Modified higher-order Szegő conjecture. The weighted logarithmic integrability condition