A Prime Orbit Theorem for Self-Similar Flows and Diophantine Approximation

Michel Lapidus; Machiel van Frankenhuysen

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arXiv · math/0111067

A Prime Orbit Theorem for Self-Similar Flows and Diophantine Approximation

Michel Lapidus·Machiel van Frankenhuysen

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Abstract

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.

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BibTeX RIS

Michel Lapidus, Machiel van Frankenhuysen. 2001-11-07. A Prime Orbit Theorem for Self-Similar Flows and Diophantine Approximation. https://arxiv.org/abs/math/0111067

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