2 problems

Positivity conjecture. The Green's function $H_{m,M}$ is positive if and only if $M\in(-m,\lambda_1)$.

Zero-location and asymptotic conjecture. The set $\mathbb{A}$ is countably infinite and contained in $\mathbb{R}$. Its elements can be enumerated as ${x_n}_{n\geq1}$ with…