3 problems

Let $\overline{a}(n)$ denote the cubic overpartition function, and define its Jensen polynomials by … For each degree $d$, let $N_{\overline{a}}(d)$ be the minimum integer such tha…

k-regular Jensen polynomial conjecture. Let $d\geq1$ and $k\geq2$ be integers. There exists a positive integer $N(d)$ such that $J_{p_k}^{d,n}(X)$ is hyperbolic for all…

Partition-function Jensen-polynomial conjecture. For every positive integer $m\geq 4$, there exists a positive integer $N(m)$ such that, for every $n\geq N(m)$, the polynomial…