6 problems

Let $k\in\mathbb{N}$ be fixed, and consider the empirical measure of the zeros of the $k$-th derivative of the random polynomial described in the surrounding setup. Angst–Malicet–P…

For a non-negative integer $p$, let $V_{2p}$ be the class of entire functions of the form … where $a\leq 0$ and $w$ is a real entire function of genus at most $2p+1$ with all zeros…

Let $f$ be a real entire function, meaning that $f$ maps the real axis into itself. Suppose that the order of $f$ is less than $2$ and that $f$ has only finitely many non-real zero…

Mezzadri's conjecture. As $s\to0$,

Let $N_1(T)$ be the number of zeros $\beta' + i\gamma'$ of $\zeta'(s)$ with $0 < \gamma' \le T$, and define … … Write $m(a)$ for the corresponding limiting proportion, when it exis…

A real entire function of order $1$ is an entire function taking real values on the real axis, and suppose that all of its zeros lie in a strip around the real axis. Under repeated…