3 problems

Let $Z$ be an $n\times n$ positive semidefinite similarity matrix as above, and let $\mathbf{1}$ denote the $n$-dimensional all-ones vector. Equivalent bounds conjecture. For $q>1$…

Let $Z$ be an $n\times n$ positive semidefinite similarity matrix with $n>0$, symmetric entries in $[0,1]$, and diagonal entries equal to $1$. On the uniform distribution, write LC…

Similarity conjecture. It is not necessary that