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

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

2001-11-07

arxiv.org/abs/math/0111067v1

Mathematics

Spectral Theory

Scientific paper

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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