4 problems

Obsolescence conjecture. Condition 1 in Theorem 4.1 is obsolete in general, meaning that the theorem should remain valid without this condition.

Let $p$ be the coefficient in the one-dimensional Dirac system considered in the paper, and let $a_1$ denote the first coefficient from the asymptotic expansion of the norming cons…

Let $n\geq 3$, let $\Omega$ be a convex $n$-gon, and let $P$ be a regular $n$-gon. Write $\lambda_i(\Omega)$ for the $i$th eigenvalue of the Dirichlet Laplacian on $\Omega$, and le…

Let two quantum graphs be isospectral if they have the same eigenvalues, and let their nodal count sequences record the nodal count of corresponding eigenfunctions. Nodal-count iso…