4 problems

Let $\varphi(x)$ be a Schwartz class function on $\mathbb{R}$ with Fourier transform having compact support. Define the density … and let $\rho=\frac12+i\gamma$, with…

Jackson–Sokal's density conjecture. The zeros of the Tutte polynomials of graphs are dense in the following regions: (a) $q<0$ and $v<-2$; (b) $q<0$ and $0<v<-q/2$; (c)…

Let $R_1,R_2,\dots$ be the inclusion-wise increasing sequence of regions in the $(q,v)$ plane associated with the Jackson–Sokal hierarchy, and let $R^*$ denote a limiting region. J…

For each Dirichlet character $\chi$ modulo $q$, let $\gamma_\chi$ and $\gamma'_\chi$ denote ordinates of nontrivial zeros of $L(s,\chi)$, counted with multiplicity. Fix $C>0$. Pair…