A Prime Orbit Theorem for Self-Similar Flows and Diophantine Approximation
Lapidus, Michel · van Frankenhuysen, Machiel
Original · EN
Assuming some regularity of the dynamical zeta function, we establish an explicit formula with an error term for the prime orbit counting function of a suspended flow. We define the subclass of self-similar flows, for which we give an extensive analysis of the error term in the corresponding prime orbit theorem.
English translation
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