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edited Feb 6, 2017 at 3:29

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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 $\mathbb{R}^{2} \setminus \{1\}$ by $\dot Z= \zeta(Z)$.

Are there some researches about this dynamical system?Are there closed orbits for this equation?

reference-request ds.dynamical-systems differential-equations riemann-zeta-function

asked Feb 5, 2017 at 21:08

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