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?
A dynamical system defined by the Riemann zeta function
Ali Taghavi
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