Let $\zeta$ be the classical Riemann zeta function.
We define a differential equation on $\mathbb{R}^{2} \setminus \{0\}$ by $\dot Z= \zeta(Z)$.
Are there some research about this dynamical system?Are there closed orbits for this equation?
Let $\zeta$ be the classical Riemann zeta function.
We define a differential equation on $\mathbb{R}^{2} \setminus \{0\}$ by $\dot Z= \zeta(Z)$.
Are there some research about this dynamical system?Are there closed orbits for this equation?