2 problems

Let $k$ and $\ell$ be fixed natural numbers, and define … Here $B_m$ denotes the $m$th Bernoulli number; the variable $Z$ replaces $z^{2\ell}$ in the one-variable generalization of…

Conjecture on the zeros of $R_{2k+1,p}$. The only real root of $R_{2k+1,p}(z)$ is $z=0$, with multiplicity $2$; moreover, its non-real roots are simple and lie on the circle…