6 problems

Spectral-extension conjecture. The authors conjecture that their results can also yield spectral information for various other classes of periodic linear differential equations, in…

Let $T>0$, let $I=[-T,T]$, and let $s_0$ range over $[0,T]$. For $s_0\in[0,T]\setminus\mathbb{N}$, let $\lambda^{s_0}$ be the first eigenvalue of Problem … with $m=0$. First-eigenv…

Persistence conjecture. The inequality $2\leq n\leq6$ can be replaced by

Morris–Feldstein–Bowen conjecture. The consecutive positive zeros satisfy

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…

The renormalized perturbative $S$-matrix is a formal perturbative object in quantum field theory, and the Schrödinger functional differential equation is understood with its right-…