2 problems

Let $(a(n))$ be a recurrence sequence, and let its dominating characteristic roots be the characteristic roots of maximal modulus among those occurring with nonzero coefficient in…

Jacobian nonresonance conjecture. If, for all $x\in\mathbb{R}^n_{\gg 0}$ and all $v\in\mathcal{K}$, the Jacobian matrix $\Gamma Dv(x)$ has no purely imaginary eigenvalues, then…