3 problems

Conjecture on singular A-L measures. There exists a Dirichlet-regular Widom set ${\mathsf{E}}$ with DCT such that A-L holds and $\mu^\alpha$ has a nontrivial singular component wit…

Optimal constant conjecture. The optimal constant in the upper bound should be $1$, so that

Let a Jacobi matrix have coefficients $q_n$ and $\rho_n^2$ such that both $q_n$ and $\rho_n^2$ are polynomials. The order is the growth invariant associated with the corresponding…