4 problems

Define the Riemann $d4fd$-function by … where … The function $d4fd$ is even and real on the real axis. Farmer–Rhoades conjecture. after suitable rescaling, the derivatives…

Let $f$ be a real, even entire function of order less than $2$ whose real zeros become equally spaced under repeated differentiation. Since, up to a simple change of variables, the…

Let $n\in\mathbb{N}$ with $n\geqslant 2$. Let $\Phi_n(t)$ be the truncated kernel considered above, let $\omega_n=(1/2)\log n$, and let $\tau_n$ denote its smallest positive zero.…

Let $\Xi_k(z)=\sum_{j=1}^{k}\Phi_j(z)$ and let $\Phi_{k+1}(z)$ be the next summand in the truncated Riemann Xi-function series. For $k\geq1$ and $0\leq t\leq1$, consider…