3 problems

Let a Z-curve be one of the level curves described in the source for $\zeta'(s)$, and classify zeros of $\zeta'(s)$ by types $0$, $1$, and $2$. Write a zero as…

Let $\phi$ satisfy condition (A1). For $\lambda\in\mathbb{T}$, let $\mathcal{L}_{\lambda}(\phi)$ have $L_{\lambda}$ components near $(1,1)$, and let $\mathcal{Z}_{\tilde{p}}$ have…

Let $\phi$ be a rational inner function, let $\mathcal{Z}_{\tilde{p}}$ denote its relevant zero set, and consider its branches at a singularity on $\mathbb{T}^2$. For generic…