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Ali Taghavi
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A dynamical system defined by the Riemann zeta function

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?

Ali Taghavi
  • 356
  • 8
  • 31
  • 123