3 problems

Bertoin–Yor conjecture. The absence of positive jumps in $\xi$ is necessary for $X_\xi$ to be moment-determinate.

Let $\mathbb{H}_n$ be the $n$-dimensional truncation of the Hilbert matrix, and let $\sigma_i(\mathbb{H}_n)$ denote its $i$th singular value. Gerth's conjecture. For every fixed…

Let $a>0$ be a real constant and set $m_n=\Gamma(an+1)$ for $n\ge 0$. Gamma-power conjecture. The following assertions hold: (a) the moment sequence $\{m_n\}_{n=0}^{\infty}$ belong…